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Least Common Multiple (LCM) of 15 and 103

The least common multiple (LCM) of 15 and 103 is 1545.

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 103?

First, calculate the GCD of 15 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 15 ÷ 103 = 0 remainder 15
2 103 ÷ 15 = 6 remainder 13
3 15 ÷ 13 = 1 remainder 2
4 13 ÷ 2 = 6 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
176 and 464048
101 and 11011110
43 and 1817783
30 and 132660
101 and 15215352

Try Calculating LCM of Other Numbers







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