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Least Common Multiple (LCM) of 150 and 192

The least common multiple (LCM) of 150 and 192 is 4800.

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 150 and 192?

First, calculate the GCD of 150 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 150 ÷ 192 = 0 remainder 150
2 192 ÷ 150 = 1 remainder 42
3 150 ÷ 42 = 3 remainder 24
4 42 ÷ 24 = 1 remainder 18
5 24 ÷ 18 = 1 remainder 6
6 18 ÷ 6 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
168 and 746216
131 and 16321353
76 and 1322508
151 and 7611476
69 and 18512765

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