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Least Common Multiple (LCM) of 182 and 40

The least common multiple (LCM) of 182 and 40 is 3640.

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 182 and 40?

First, calculate the GCD of 182 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 182 ÷ 40 = 4 remainder 22
2 40 ÷ 22 = 1 remainder 18
3 22 ÷ 18 = 1 remainder 4
4 18 ÷ 4 = 4 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
95 and 12211590
76 and 1224636
151 and 16224462
138 and 443036
20 and 92460

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