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Least Common Multiple (LCM) of 74 and 118

The least common multiple (LCM) of 74 and 118 is 4366.

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 74 and 118?

First, calculate the GCD of 74 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 74 ÷ 118 = 0 remainder 74
2 118 ÷ 74 = 1 remainder 44
3 74 ÷ 44 = 1 remainder 30
4 44 ÷ 30 = 1 remainder 14
5 30 ÷ 14 = 2 remainder 2
6 14 ÷ 2 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
152 and 38152
154 and 314774
35 and 361260
157 and 548478
37 and 2007400

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