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Least Common Multiple (LCM) of 127 and 107

The least common multiple (LCM) of 127 and 107 is 13589.

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 127 and 107?

First, calculate the GCD of 127 and 107 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 127 ÷ 107 = 1 remainder 20
2 107 ÷ 20 = 5 remainder 7
3 20 ÷ 7 = 2 remainder 6
4 7 ÷ 6 = 1 remainder 1
5 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
55 and 19410670
139 and 131807
104 and 19920696
136 and 10314008
68 and 28476

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