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Least Common Multiple (LCM) of 192 and 164

The least common multiple (LCM) of 192 and 164 is 7872.

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 192 and 164?

First, calculate the GCD of 192 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 192 ÷ 164 = 1 remainder 28
2 164 ÷ 28 = 5 remainder 24
3 28 ÷ 24 = 1 remainder 4
4 24 ÷ 4 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
183 and 10118483
19 and 1001900
125 and 14117625
22 and 77154
61 and 1086588

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