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Least Common Multiple (LCM) of 70 and 113

The least common multiple (LCM) of 70 and 113 is 7910.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 70 and 113?

First, calculate the GCD of 70 and 113 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 70 ÷ 113 = 0 remainder 70
2 113 ÷ 70 = 1 remainder 43
3 70 ÷ 43 = 1 remainder 27
4 43 ÷ 27 = 1 remainder 16
5 27 ÷ 16 = 1 remainder 11
6 16 ÷ 11 = 1 remainder 5
7 11 ÷ 5 = 2 remainder 1
8 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
22 and 1312882
27 and 1784806
50 and 994950
100 and 17717700
47 and 1617567

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