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Least Common Multiple (LCM) of 72 and 135

The least common multiple (LCM) of 72 and 135 is 1080.

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 135?

First, calculate the GCD of 72 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 72 ÷ 135 = 0 remainder 72
2 135 ÷ 72 = 1 remainder 63
3 72 ÷ 63 = 1 remainder 9
4 63 ÷ 9 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
86 and 944042
65 and 1451885
101 and 15415554
82 and 1285248
133 and 1542926

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