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Least Common Multiple (LCM) of 146 and 150

The least common multiple (LCM) of 146 and 150 is 10950.

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 146 and 150?

First, calculate the GCD of 146 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 146 ÷ 150 = 0 remainder 146
2 150 ÷ 146 = 1 remainder 4
3 146 ÷ 4 = 36 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
14 and 63126
151 and 19829898
43 and 1084644
109 and 10211118
173 and 6210726

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