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Least Common Multiple (LCM) of 113 and 184

The least common multiple (LCM) of 113 and 184 is 20792.

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 113 and 184?

First, calculate the GCD of 113 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 113 ÷ 184 = 0 remainder 113
2 184 ÷ 113 = 1 remainder 71
3 113 ÷ 71 = 1 remainder 42
4 71 ÷ 42 = 1 remainder 29
5 42 ÷ 29 = 1 remainder 13
6 29 ÷ 13 = 2 remainder 3
7 13 ÷ 3 = 4 remainder 1
8 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
132 and 1864092
200 and 12725400
51 and 1592703
16 and 74592
76 and 823116

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