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Least Common Multiple (LCM) of 104 and 187

The least common multiple (LCM) of 104 and 187 is 19448.

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 104 and 187?

First, calculate the GCD of 104 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 104 ÷ 187 = 0 remainder 104
2 187 ÷ 104 = 1 remainder 83
3 104 ÷ 83 = 1 remainder 21
4 83 ÷ 21 = 3 remainder 20
5 21 ÷ 20 = 1 remainder 1
6 20 ÷ 1 = 20 remainder 0

Examples of LCM Calculations

NumbersLCM
68 and 1137684
78 and 571482
141 and 19327213
162 and 12119602
78 and 17913962

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