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Least Common Multiple (LCM) of 47 and 135

The least common multiple (LCM) of 47 and 135 is 6345.

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 135?

First, calculate the GCD of 47 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 47 ÷ 135 = 0 remainder 47
2 135 ÷ 47 = 2 remainder 41
3 47 ÷ 41 = 1 remainder 6
4 41 ÷ 6 = 6 remainder 5
5 6 ÷ 5 = 1 remainder 1
6 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
41 and 16656
88 and 1119768
116 and 13315428
88 and 1059240
143 and 17024310

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