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Least Common Multiple (LCM) of 54 and 192

The least common multiple (LCM) of 54 and 192 is 1728.

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 54 and 192?

First, calculate the GCD of 54 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 54 ÷ 192 = 0 remainder 54
2 192 ÷ 54 = 3 remainder 30
3 54 ÷ 30 = 1 remainder 24
4 30 ÷ 24 = 1 remainder 6
5 24 ÷ 6 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
171 and 1331197
189 and 1544158
29 and 27783
37 and 1435291
60 and 39780

Try Calculating LCM of Other Numbers







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