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Least Common Multiple (LCM) of 172 and 57

The least common multiple (LCM) of 172 and 57 is 9804.

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 57?

First, calculate the GCD of 172 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 172 ÷ 57 = 3 remainder 1
2 57 ÷ 1 = 57 remainder 0

Examples of LCM Calculations

NumbersLCM
90 and 1245580
173 and 569688
33 and 198198
139 and 435977
157 and 192983

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