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Least Common Multiple (LCM) of 173 and 179

The least common multiple (LCM) of 173 and 179 is 30967.

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 179?

First, calculate the GCD of 173 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 173 ÷ 179 = 0 remainder 173
2 179 ÷ 173 = 1 remainder 6
3 173 ÷ 6 = 28 remainder 5
4 6 ÷ 5 = 1 remainder 1
5 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
15 and 105105
87 and 1414089
195 and 901170
178 and 89178
80 and 1723440

Try Calculating LCM of Other Numbers







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