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Least Common Multiple (LCM) of 138 and 84

The least common multiple (LCM) of 138 and 84 is 1932.

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 138 and 84?

First, calculate the GCD of 138 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 138 ÷ 84 = 1 remainder 54
2 84 ÷ 54 = 1 remainder 30
3 54 ÷ 30 = 1 remainder 24
4 30 ÷ 24 = 1 remainder 6
5 24 ÷ 6 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
54 and 1423834
54 and 13702
184 and 15528520
140 and 451260
140 and 25700

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