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Least Common Multiple (LCM) of 136 and 183

The least common multiple (LCM) of 136 and 183 is 24888.

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 183?

First, calculate the GCD of 136 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 136 ÷ 183 = 0 remainder 136
2 183 ÷ 136 = 1 remainder 47
3 136 ÷ 47 = 2 remainder 42
4 47 ÷ 42 = 1 remainder 5
5 42 ÷ 5 = 8 remainder 2
6 5 ÷ 2 = 2 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
107 and 19020330
135 and 17323355
183 and 7012810
101 and 17617776
98 and 341666

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