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Least Common Multiple (LCM) of 36 and 115

The least common multiple (LCM) of 36 and 115 is 4140.

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 36 and 115?

First, calculate the GCD of 36 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 36 ÷ 115 = 0 remainder 36
2 115 ÷ 36 = 3 remainder 7
3 36 ÷ 7 = 5 remainder 1
4 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
126 and 644032
88 and 514488
132 and 1355940
115 and 601380
162 and 1236642

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