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Least Common Multiple (LCM) of 182 and 103

The least common multiple (LCM) of 182 and 103 is 18746.

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 182 and 103?

First, calculate the GCD of 182 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 182 ÷ 103 = 1 remainder 79
2 103 ÷ 79 = 1 remainder 24
3 79 ÷ 24 = 3 remainder 7
4 24 ÷ 7 = 3 remainder 3
5 7 ÷ 3 = 2 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
22 and 1192618
69 and 292001
155 and 8112555
36 and 1676012
47 and 1969212

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