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Least Common Multiple (LCM) of 47 and 138

The least common multiple (LCM) of 47 and 138 is 6486.

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 47 and 138?

First, calculate the GCD of 47 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 47 ÷ 138 = 0 remainder 47
2 138 ÷ 47 = 2 remainder 44
3 47 ÷ 44 = 1 remainder 3
4 44 ÷ 3 = 14 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
192 and 875568
59 and 17910561
167 and 12520875
28 and 29812
56 and 822296

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