LCM of 56 and 70

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The smallest positive integer that divides the numbers with no numbers left behind is the LCM of 56 and 70. Did you know? We apply LCM unknowingly in everyday situations like setting alarms and to synchronize traffic lights and when making music. In this article, let’s now learn to find LCMs of 56 and 70.

What is LCM of 56 and 70

We can find the LCM using listing multiples method, prime factorization method and the long division method. These methods are explained here, apply a method that fits your understanding well.

LCM of 56 and 70 using listing multiples method

Step 1: List the multiples of each of the numbers;

56 = 56,112,168,224,280,…

70 = 70,140,210,280,…

Step 2: Find the smallest number in both the lists

LCM (56,70) = 280

LCM of 56 and 70 using prime factorization method

Step 1: Prime factorize the numbers

56 = 2×2×2×7

70 = 7×5×2

Step 2: find highest powers

Step 3: Multiply the highest powers of the numbers

LCM(56,70) = 280

LCM of 56 and 70 using division method

Write the numbers in a row

Divide them with a common prime factor

Carry forward numbers that are left undivided

Continue dividing until the remainder is ‘1’

Multiply the divisors to find the LCM

LCM (56,70) = 280

Important glossaries for LCM of 56 and 70

Multiple: the result after multiplication of a number and an integer. To explain, 75×5 =375; 375 is a multiple of 75.

Prime Factor: A number with only two factors, 1 and the number. For example,7, its factors are only 1 and 7 and the number when divided by any other integer will leave a remainder behind.

Prime Factorization: breaking a number down into its prime factors. For example, 60 is written as the product of 2×2×3×5.