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Least Common Multiple (LCM) of 72 and 17

The least common multiple (LCM) of 72 and 17 is 1224.

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 17?

First, calculate the GCD of 72 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 72 ÷ 17 = 4 remainder 4
2 17 ÷ 4 = 4 remainder 1
3 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
175 and 18732725
38 and 1102090
12 and 1331596
69 and 1774071
123 and 1295289

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