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Least Common Multiple (LCM) of 54 and 115

The least common multiple (LCM) of 54 and 115 is 6210.

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 54 and 115?

First, calculate the GCD of 54 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 54 ÷ 115 = 0 remainder 54
2 115 ÷ 54 = 2 remainder 7
3 54 ÷ 7 = 7 remainder 5
4 7 ÷ 5 = 1 remainder 2
5 5 ÷ 2 = 2 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
38 and 1583002
87 and 1022958
199 and 17234228
15 and 195195
180 and 811620

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