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Least Common Multiple (LCM) of 48 and 192

The least common multiple (LCM) of 48 and 192 is 192.

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 48 and 192?

First, calculate the GCD of 48 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 48 ÷ 192 = 0 remainder 48
2 192 ÷ 48 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
159 and 325088
129 and 253225
67 and 1389246
11 and 1391529
121 and 17821538

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