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Least Common Multiple (LCM) of 136 and 57

The least common multiple (LCM) of 136 and 57 is 7752.

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 57?

First, calculate the GCD of 136 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 136 ÷ 57 = 2 remainder 22
2 57 ÷ 22 = 2 remainder 13
3 22 ÷ 13 = 1 remainder 9
4 13 ÷ 9 = 1 remainder 4
5 9 ÷ 4 = 2 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
10 and 84420
18 and 38342
158 and 17613904
104 and 1186136
95 and 989310

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