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Least Common Multiple (LCM) of 72 and 151

The least common multiple (LCM) of 72 and 151 is 10872.

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 151?

First, calculate the GCD of 72 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 72 ÷ 151 = 0 remainder 72
2 151 ÷ 72 = 2 remainder 7
3 72 ÷ 7 = 10 remainder 2
4 7 ÷ 2 = 3 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
48 and 751200
40 and 1937720
21 and 1831281
125 and 162000
102 and 717242

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