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Least Common Multiple (LCM) of 35 and 127

The least common multiple (LCM) of 35 and 127 is 4445.

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 35 and 127?

First, calculate the GCD of 35 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 35 ÷ 127 = 0 remainder 35
2 127 ÷ 35 = 3 remainder 22
3 35 ÷ 22 = 1 remainder 13
4 22 ÷ 13 = 1 remainder 9
5 13 ÷ 9 = 1 remainder 4
6 9 ÷ 4 = 2 remainder 1
7 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
100 and 13713700
89 and 15213528
180 and 17331140
169 and 65845
173 and 16127853

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