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Least Common Multiple (LCM) of 28 and 150

The least common multiple (LCM) of 28 and 150 is 2100.

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 28 and 150?

First, calculate the GCD of 28 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 28 ÷ 150 = 0 remainder 28
2 150 ÷ 28 = 5 remainder 10
3 28 ÷ 10 = 2 remainder 8
4 10 ÷ 8 = 1 remainder 2
5 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
125 and 14718375
172 and 14524940
134 and 16210854
193 and 18335319
152 and 17726904

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