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Least Common Multiple (LCM) of 187 and 15

The least common multiple (LCM) of 187 and 15 is 2805.

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 187 and 15?

First, calculate the GCD of 187 and 15 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 187 ÷ 15 = 12 remainder 7
2 15 ÷ 7 = 2 remainder 1
3 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
127 and 182286
168 and 416888
148 and 37148
49 and 1637987
58 and 19911542

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