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Least Common Multiple (LCM) of 102 and 127

The least common multiple (LCM) of 102 and 127 is 12954.

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 102 and 127?

First, calculate the GCD of 102 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 102 ÷ 127 = 0 remainder 102
2 127 ÷ 102 = 1 remainder 25
3 102 ÷ 25 = 4 remainder 2
4 25 ÷ 2 = 12 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
86 and 171462
99 and 17517325
102 and 582958
99 and 16616434
135 and 466210

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