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Least Common Multiple (LCM) of 136 and 71

The least common multiple (LCM) of 136 and 71 is 9656.

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 136 and 71?

First, calculate the GCD of 136 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 136 ÷ 71 = 1 remainder 65
2 71 ÷ 65 = 1 remainder 6
3 65 ÷ 6 = 10 remainder 5
4 6 ÷ 5 = 1 remainder 1
5 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
185 and 20740
54 and 102918
193 and 11922967
116 and 1468468
176 and 1121232

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