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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
35 and 1294515
192 and 9117472
184 and 17732568
18 and 16144
172 and 1028772

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