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Least Common Multiple (LCM) of 31 and 184

The least common multiple (LCM) of 31 and 184 is 5704.

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 31 and 184?

First, calculate the GCD of 31 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 31 ÷ 184 = 0 remainder 31
2 184 ÷ 31 = 5 remainder 29
3 31 ÷ 29 = 1 remainder 2
4 29 ÷ 2 = 14 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
120 and 11914280
65 and 12780
179 and 7914141
86 and 1104730
37 and 1907030

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