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Least Common Multiple (LCM) of 49 and 183

The least common multiple (LCM) of 49 and 183 is 8967.

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 49 and 183?

First, calculate the GCD of 49 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 49 ÷ 183 = 0 remainder 49
2 183 ÷ 49 = 3 remainder 36
3 49 ÷ 36 = 1 remainder 13
4 36 ÷ 13 = 2 remainder 10
5 13 ÷ 10 = 1 remainder 3
6 10 ÷ 3 = 3 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
195 and 1328580
183 and 16630378
15 and 52780
10 and 1211210
25 and 812025

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