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Least Common Multiple (LCM) of 15 and 194

The least common multiple (LCM) of 15 and 194 is 2910.

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 15 and 194?

First, calculate the GCD of 15 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 15 ÷ 194 = 0 remainder 15
2 194 ÷ 15 = 12 remainder 14
3 15 ÷ 14 = 1 remainder 1
4 14 ÷ 1 = 14 remainder 0

Examples of LCM Calculations

NumbersLCM
99 and 14814652
93 and 18417112
146 and 314526
23 and 4646
88 and 1842024

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