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Least Common Multiple (LCM) of 172 and 15

The least common multiple (LCM) of 172 and 15 is 2580.

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 172 and 15?

First, calculate the GCD of 172 and 15 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 172 ÷ 15 = 11 remainder 7
2 15 ÷ 7 = 2 remainder 1
3 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
118 and 18121358
116 and 333828
46 and 612806
149 and 13119519
164 and 579348

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