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Least Common Multiple (LCM) of 26 and 127

The least common multiple (LCM) of 26 and 127 is 3302.

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 26 and 127?

First, calculate the GCD of 26 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 26 ÷ 127 = 0 remainder 26
2 127 ÷ 26 = 4 remainder 23
3 26 ÷ 23 = 1 remainder 3
4 23 ÷ 3 = 7 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
183 and 8916287
37 and 381406
155 and 7311315
152 and 1188968
12 and 64192

Try Calculating LCM of Other Numbers







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