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Least Common Multiple (LCM) of 188 and 39

The least common multiple (LCM) of 188 and 39 is 7332.

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 39?

First, calculate the GCD of 188 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 188 ÷ 39 = 4 remainder 32
2 39 ÷ 32 = 1 remainder 7
3 32 ÷ 7 = 4 remainder 4
4 7 ÷ 4 = 1 remainder 3
5 4 ÷ 3 = 1 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
109 and 808720
40 and 56280
58 and 694002
142 and 14320306
136 and 537208

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