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Least Common Multiple (LCM) of 173 and 115

The least common multiple (LCM) of 173 and 115 is 19895.

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 173 and 115?

First, calculate the GCD of 173 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 173 ÷ 115 = 1 remainder 58
2 115 ÷ 58 = 1 remainder 57
3 58 ÷ 57 = 1 remainder 1
4 57 ÷ 1 = 57 remainder 0

Examples of LCM Calculations

NumbersLCM
98 and 42294
41 and 1214961
158 and 477426
96 and 17917184
76 and 1723268

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