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Least Common Multiple (LCM) of 118 and 47

The least common multiple (LCM) of 118 and 47 is 5546.

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 118 and 47?

First, calculate the GCD of 118 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 118 ÷ 47 = 2 remainder 24
2 47 ÷ 24 = 1 remainder 23
3 24 ÷ 23 = 1 remainder 1
4 23 ÷ 1 = 23 remainder 0

Examples of LCM Calculations

NumbersLCM
83 and 927636
155 and 528060
61 and 1066466
178 and 16214418
155 and 802480

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