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Least Common Multiple (LCM) of 150 and 187

The least common multiple (LCM) of 150 and 187 is 28050.

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 187?

First, calculate the GCD of 150 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 150 ÷ 187 = 0 remainder 150
2 187 ÷ 150 = 1 remainder 37
3 150 ÷ 37 = 4 remainder 2
4 37 ÷ 2 = 18 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
59 and 844956
48 and 1784272
150 and 463450
130 and 10113130
25 and 40200

Try Calculating LCM of Other Numbers







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