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Least Common Multiple (LCM) of 118 and 136

The least common multiple (LCM) of 118 and 136 is 8024.

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 118 and 136?

First, calculate the GCD of 118 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 118 ÷ 136 = 0 remainder 118
2 136 ÷ 118 = 1 remainder 18
3 118 ÷ 18 = 6 remainder 10
4 18 ÷ 10 = 1 remainder 8
5 10 ÷ 8 = 1 remainder 2
6 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
158 and 16526070
17 and 841428
94 and 743478
135 and 1114995
155 and 15824490

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