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Least Common Multiple (LCM) of 172 and 173

The least common multiple (LCM) of 172 and 173 is 29756.

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 173?

First, calculate the GCD of 172 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 172 ÷ 173 = 0 remainder 172
2 173 ÷ 172 = 1 remainder 1
3 172 ÷ 1 = 172 remainder 0

Examples of LCM Calculations

NumbersLCM
55 and 1417755
176 and 13323408
102 and 562856
88 and 198792
167 and 13021710

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