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Least Common Multiple (LCM) of 150 and 19

The least common multiple (LCM) of 150 and 19 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 150 and 19?

First, calculate the GCD of 150 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 150 ÷ 19 = 7 remainder 17
2 19 ÷ 17 = 1 remainder 2
3 17 ÷ 2 = 8 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
159 and 16926871
27 and 381026
62 and 694278
37 and 682516
15 and 120120

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