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Least Common Multiple (LCM) of 115 and 56

The least common multiple (LCM) of 115 and 56 is 6440.

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 115 and 56?

First, calculate the GCD of 115 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 115 ÷ 56 = 2 remainder 3
2 56 ÷ 3 = 18 remainder 2
3 3 ÷ 2 = 1 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
42 and 147294
37 and 893293
183 and 845124
131 and 16521615
18 and 731314

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