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Least Common Multiple (LCM) of 113 and 61

The least common multiple (LCM) of 113 and 61 is 6893.

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 113 and 61?

First, calculate the GCD of 113 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 113 ÷ 61 = 1 remainder 52
2 61 ÷ 52 = 1 remainder 9
3 52 ÷ 9 = 5 remainder 7
4 9 ÷ 7 = 1 remainder 2
5 7 ÷ 2 = 3 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
85 and 12610710
157 and 487536
196 and 924508
65 and 17711505
176 and 10117776

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