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Least Common Multiple (LCM) of 150 and 30

The least common multiple (LCM) of 150 and 30 is 150.

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 30?

First, calculate the GCD of 150 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 150 ÷ 30 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
108 and 414428
159 and 16025440
196 and 1333724
99 and 11311187
141 and 16322983

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