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Least Common Multiple (LCM) of 74 and 72

The least common multiple (LCM) of 74 and 72 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 74 and 72?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
46 and 28644
17 and 731241
120 and 1863720
95 and 13112445
53 and 834399

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