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Least Common Multiple (LCM) of 38 and 150

The least common multiple (LCM) of 38 and 150 is 2850.

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 38 and 150?

First, calculate the GCD of 38 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 38 ÷ 150 = 0 remainder 38
2 150 ÷ 38 = 3 remainder 36
3 38 ÷ 36 = 1 remainder 2
4 36 ÷ 2 = 18 remainder 0

Examples of LCM Calculations

NumbersLCM
112 and 945264
29 and 1323828
148 and 181332
88 and 1747656
45 and 1231845

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