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Least Common Multiple (LCM) of 11 and 127

The least common multiple (LCM) of 11 and 127 is 1397.

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 11 and 127?

First, calculate the GCD of 11 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 11 ÷ 127 = 0 remainder 11
2 127 ÷ 11 = 11 remainder 6
3 11 ÷ 6 = 1 remainder 5
4 6 ÷ 5 = 1 remainder 1
5 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
83 and 241992
127 and 475969
128 and 16610624
29 and 1604640
185 and 387030

Try Calculating LCM of Other Numbers







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