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Least Common Multiple (LCM) of 15 and 47

The least common multiple (LCM) of 15 and 47 is 705.

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 47?

First, calculate the GCD of 15 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 15 ÷ 47 = 0 remainder 15
2 47 ÷ 15 = 3 remainder 2
3 15 ÷ 2 = 7 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
159 and 1809540
136 and 1228296
196 and 17417052
176 and 498624
15 and 200600

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