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Least Common Multiple (LCM) of 40 and 183

The least common multiple (LCM) of 40 and 183 is 7320.

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 40 and 183?

First, calculate the GCD of 40 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 40 ÷ 183 = 0 remainder 40
2 183 ÷ 40 = 4 remainder 23
3 40 ÷ 23 = 1 remainder 17
4 23 ÷ 17 = 1 remainder 6
5 17 ÷ 6 = 2 remainder 5
6 6 ÷ 5 = 1 remainder 1
7 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
189 and 84756
60 and 1551860
133 and 12917157
182 and 12010920
93 and 11810974

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