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Least Common Multiple (LCM) of 164 and 179

The least common multiple (LCM) of 164 and 179 is 29356.

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 164 and 179?

First, calculate the GCD of 164 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 164 ÷ 179 = 0 remainder 164
2 179 ÷ 164 = 1 remainder 15
3 164 ÷ 15 = 10 remainder 14
4 15 ÷ 14 = 1 remainder 1
5 14 ÷ 1 = 14 remainder 0

Examples of LCM Calculations

NumbersLCM
147 and 7110437
97 and 949118
156 and 1802340
174 and 12410788
100 and 120600

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