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Least Common Multiple (LCM) of 72 and 183

The least common multiple (LCM) of 72 and 183 is 4392.

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 72 and 183?

First, calculate the GCD of 72 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 72 ÷ 183 = 0 remainder 72
2 183 ÷ 72 = 2 remainder 39
3 72 ÷ 39 = 1 remainder 33
4 39 ÷ 33 = 1 remainder 6
5 33 ÷ 6 = 5 remainder 3
6 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
27 and 401080
111 and 11913209
101 and 15415554
140 and 361260
165 and 1085940

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