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Least Common Multiple (LCM) of 177 and 175

The least common multiple (LCM) of 177 and 175 is 30975.

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 177 and 175?

First, calculate the GCD of 177 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 177 ÷ 175 = 1 remainder 2
2 175 ÷ 2 = 87 remainder 1
3 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
164 and 16213284
190 and 50950
175 and 19433950
37 and 582146
48 and 653120

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