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Least Common Multiple (LCM) of 117 and 142

The least common multiple (LCM) of 117 and 142 is 16614.

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 117 and 142?

First, calculate the GCD of 117 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 117 ÷ 142 = 0 remainder 117
2 142 ÷ 117 = 1 remainder 25
3 117 ÷ 25 = 4 remainder 17
4 25 ÷ 17 = 1 remainder 8
5 17 ÷ 8 = 2 remainder 1
6 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
173 and 7012110
101 and 16917069
110 and 16718370
180 and 14325740
133 and 111463

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