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Least Common Multiple (LCM) of 135 and 107

The least common multiple (LCM) of 135 and 107 is 14445.

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 135 and 107?

First, calculate the GCD of 135 and 107 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 135 ÷ 107 = 1 remainder 28
2 107 ÷ 28 = 3 remainder 23
3 28 ÷ 23 = 1 remainder 5
4 23 ÷ 5 = 4 remainder 3
5 5 ÷ 3 = 1 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
91 and 726552
101 and 11111211
74 and 19114134
96 and 944512
16 and 1248

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