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Least Common Multiple (LCM) of 108 and 47

The least common multiple (LCM) of 108 and 47 is 5076.

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 108 and 47?

First, calculate the GCD of 108 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 108 ÷ 47 = 2 remainder 14
2 47 ÷ 14 = 3 remainder 5
3 14 ÷ 5 = 2 remainder 4
4 5 ÷ 4 = 1 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
170 and 14724990
98 and 261274
88 and 66264
28 and 1714788
93 and 186186

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