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Least Common Multiple (LCM) of 172 and 28

The least common multiple (LCM) of 172 and 28 is 1204.

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 28?

First, calculate the GCD of 172 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 172 ÷ 28 = 6 remainder 4
2 28 ÷ 4 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
142 and 1168236
78 and 143858
66 and 521716
126 and 56504
145 and 9914355

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