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Least Common Multiple (LCM) of 36 and 114

The least common multiple (LCM) of 36 and 114 is 684.

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 114?

First, calculate the GCD of 36 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 36 ÷ 114 = 0 remainder 36
2 114 ÷ 36 = 3 remainder 6
3 36 ÷ 6 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
190 and 10610070
44 and 1641804
149 and 15022350
63 and 18126
110 and 1871870

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