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Least Common Multiple (LCM) of 175 and 118

The least common multiple (LCM) of 175 and 118 is 20650.

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 175 and 118?

First, calculate the GCD of 175 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 175 ÷ 118 = 1 remainder 57
2 118 ÷ 57 = 2 remainder 4
3 57 ÷ 4 = 14 remainder 1
4 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
123 and 779471
55 and 361980
168 and 1538568
27 and 1092943
115 and 445060

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