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Least Common Multiple (LCM) of 72 and 11

The least common multiple (LCM) of 72 and 11 is 792.

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 11?

First, calculate the GCD of 72 and 11 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 72 ÷ 11 = 6 remainder 6
2 11 ÷ 6 = 1 remainder 5
3 6 ÷ 5 = 1 remainder 1
4 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
116 and 221276
171 and 467866
41 and 1787298
73 and 1238979
31 and 641984

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