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Least Common Multiple (LCM) of 150 and 184

The least common multiple (LCM) of 150 and 184 is 13800.

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 184?

First, calculate the GCD of 150 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 150 ÷ 184 = 0 remainder 150
2 184 ÷ 150 = 1 remainder 34
3 150 ÷ 34 = 4 remainder 14
4 34 ÷ 14 = 2 remainder 6
5 14 ÷ 6 = 2 remainder 2
6 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
63 and 70630
89 and 19217088
71 and 19313703
120 and 1902280
36 and 1861116

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