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Least Common Multiple (LCM) of 150 and 189

The least common multiple (LCM) of 150 and 189 is 9450.

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 189?

First, calculate the GCD of 150 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 150 ÷ 189 = 0 remainder 150
2 189 ÷ 150 = 1 remainder 39
3 150 ÷ 39 = 3 remainder 33
4 39 ÷ 33 = 1 remainder 6
5 33 ÷ 6 = 5 remainder 3
6 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
104 and 1346968
173 and 5810034
51 and 824182
36 and 871044
128 and 15319584

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