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Least Common Multiple (LCM) of 188 and 38

The least common multiple (LCM) of 188 and 38 is 3572.

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 188 and 38?

First, calculate the GCD of 188 and 38 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 188 ÷ 38 = 4 remainder 36
2 38 ÷ 36 = 1 remainder 2
3 36 ÷ 2 = 18 remainder 0

Examples of LCM Calculations

NumbersLCM
67 and 342278
143 and 14921307
200 and 17935800
173 and 16829064
38 and 921748

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