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Least Common Multiple (LCM) of 172 and 164

The least common multiple (LCM) of 172 and 164 is 7052.

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 172 and 164?

First, calculate the GCD of 172 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 172 ÷ 164 = 1 remainder 8
2 164 ÷ 8 = 20 remainder 4
3 8 ÷ 4 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
41 and 712911
42 and 20420
166 and 18014940
80 and 25400
138 and 17812282

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