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Least Common Multiple (LCM) of 72 and 74

The least common multiple (LCM) of 72 and 74 is 2664.

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 72 and 74?

First, calculate the GCD of 72 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 72 ÷ 74 = 0 remainder 72
2 74 ÷ 72 = 1 remainder 2
3 72 ÷ 2 = 36 remainder 0

Examples of LCM Calculations

NumbersLCM
42 and 30210
125 and 475875
52 and 1537956
171 and 1623078
196 and 383724

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