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Least Common Multiple (LCM) of 143 and 104

The least common multiple (LCM) of 143 and 104 is 1144.

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 143 and 104?

First, calculate the GCD of 143 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 143 ÷ 104 = 1 remainder 39
2 104 ÷ 39 = 2 remainder 26
3 39 ÷ 26 = 1 remainder 13
4 26 ÷ 13 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
136 and 441496
118 and 1086372
44 and 1175148
46 and 351610
48 and 581392

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