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Least Common Multiple (LCM) of 188 and 102

The least common multiple (LCM) of 188 and 102 is 9588.

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 102?

First, calculate the GCD of 188 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 188 ÷ 102 = 1 remainder 86
2 102 ÷ 86 = 1 remainder 16
3 86 ÷ 16 = 5 remainder 6
4 16 ÷ 6 = 2 remainder 4
5 6 ÷ 4 = 1 remainder 2
6 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
132 and 16321516
113 and 222486
200 and 24600
129 and 86258
143 and 143143

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