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Least Common Multiple (LCM) of 172 and 150

The least common multiple (LCM) of 172 and 150 is 12900.

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 150?

First, calculate the GCD of 172 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 172 ÷ 150 = 1 remainder 22
2 150 ÷ 22 = 6 remainder 18
3 22 ÷ 18 = 1 remainder 4
4 18 ÷ 4 = 4 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
184 and 962208
110 and 11112210
15 and 165165
90 and 1285760
140 and 963360

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