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Least Common Multiple (LCM) of 119 and 15

The least common multiple (LCM) of 119 and 15 is 1785.

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 119 and 15?

First, calculate the GCD of 119 and 15 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 119 ÷ 15 = 7 remainder 14
2 15 ÷ 14 = 1 remainder 1
3 14 ÷ 1 = 14 remainder 0

Examples of LCM Calculations

NumbersLCM
13 and 801040
25 and 14350
182 and 12411284
71 and 553905
164 and 302460

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