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Least Common Multiple (LCM) of 40 and 188

The least common multiple (LCM) of 40 and 188 is 1880.

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 188?

First, calculate the GCD of 40 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 40 ÷ 188 = 0 remainder 40
2 188 ÷ 40 = 4 remainder 28
3 40 ÷ 28 = 1 remainder 12
4 28 ÷ 12 = 2 remainder 4
5 12 ÷ 4 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
69 and 1713933
73 and 17913067
125 and 19324125
119 and 293451
153 and 68612

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