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Least Common Multiple (LCM) of 40 and 181

The least common multiple (LCM) of 40 and 181 is 7240.

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 181?

First, calculate the GCD of 40 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 40 ÷ 181 = 0 remainder 40
2 181 ÷ 40 = 4 remainder 21
3 40 ÷ 21 = 1 remainder 19
4 21 ÷ 19 = 1 remainder 2
5 19 ÷ 2 = 9 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
132 and 1187788
146 and 14810804
192 and 1844416
66 and 1304290
29 and 34986

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