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Least Common Multiple (LCM) of 188 and 123

The least common multiple (LCM) of 188 and 123 is 23124.

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 123?

First, calculate the GCD of 188 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 188 ÷ 123 = 1 remainder 65
2 123 ÷ 65 = 1 remainder 58
3 65 ÷ 58 = 1 remainder 7
4 58 ÷ 7 = 8 remainder 2
5 7 ÷ 2 = 3 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
169 and 15826702
69 and 1744002
68 and 1318908
57 and 1428094
62 and 1845704

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