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Least Common Multiple (LCM) of 83 and 175

The least common multiple (LCM) of 83 and 175 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 83 and 175?

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

Step-by-Step GCD Calculation

StepCalculation
1 83 ÷ 175 = 0 remainder 83
2 175 ÷ 83 = 2 remainder 9
3 83 ÷ 9 = 9 remainder 2
4 9 ÷ 2 = 4 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
165 and 693795
67 and 553685
57 and 1773363
84 and 932604
43 and 803440

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