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Least Common Multiple (LCM) of 140 and 117

The least common multiple (LCM) of 140 and 117 is 16380.

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 140 and 117?

First, calculate the GCD of 140 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 140 ÷ 117 = 1 remainder 23
2 117 ÷ 23 = 5 remainder 2
3 23 ÷ 2 = 11 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
187 and 17332351
82 and 18315006
61 and 784758
129 and 10113029
27 and 1524104

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