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Least Common Multiple (LCM) of 73 and 119

The least common multiple (LCM) of 73 and 119 is 8687.

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 73 and 119?

First, calculate the GCD of 73 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 73 ÷ 119 = 0 remainder 73
2 119 ÷ 73 = 1 remainder 46
3 73 ÷ 46 = 1 remainder 27
4 46 ÷ 27 = 1 remainder 19
5 27 ÷ 19 = 1 remainder 8
6 19 ÷ 8 = 2 remainder 3
7 8 ÷ 3 = 2 remainder 2
8 3 ÷ 2 = 1 remainder 1
9 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
104 and 1909880
126 and 111386
152 and 463496
111 and 616771
150 and 523900

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