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Least Common Multiple (LCM) of 117 and 155

The least common multiple (LCM) of 117 and 155 is 18135.

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 155?

First, calculate the GCD of 117 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 117 ÷ 155 = 0 remainder 117
2 155 ÷ 117 = 1 remainder 38
3 117 ÷ 38 = 3 remainder 3
4 38 ÷ 3 = 12 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
24 and 69552
125 and 17622000
200 and 763800
105 and 525460
129 and 602580

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