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Least Common Multiple (LCM) of 175 and 83

The least common multiple (LCM) of 175 and 83 is 14525.

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 83?

First, calculate the GCD of 175 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 175 ÷ 83 = 2 remainder 9
2 83 ÷ 9 = 9 remainder 2
3 9 ÷ 2 = 4 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
114 and 13915846
53 and 663498
80 and 17313840
181 and 10118281
140 and 60420

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