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Least Common Multiple (LCM) of 183 and 118

The least common multiple (LCM) of 183 and 118 is 21594.

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 183 and 118?

First, calculate the GCD of 183 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 183 ÷ 118 = 1 remainder 65
2 118 ÷ 65 = 1 remainder 53
3 65 ÷ 53 = 1 remainder 12
4 53 ÷ 12 = 4 remainder 5
5 12 ÷ 5 = 2 remainder 2
6 5 ÷ 2 = 2 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
182 and 121092
136 and 18124616
79 and 14911771
90 and 1891890
46 and 1162668

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