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Least Common Multiple (LCM) of 150 and 182

The least common multiple (LCM) of 150 and 182 is 13650.

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 182?

First, calculate the GCD of 150 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 150 ÷ 182 = 0 remainder 150
2 182 ÷ 150 = 1 remainder 32
3 150 ÷ 32 = 4 remainder 22
4 32 ÷ 22 = 1 remainder 10
5 22 ÷ 10 = 2 remainder 2
6 10 ÷ 2 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
177 and 10418408
147 and 12818816
87 and 262262
149 and 14020860
75 and 992475

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