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Least Common Multiple (LCM) of 73 and 27

The least common multiple (LCM) of 73 and 27 is 1971.

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 27?

First, calculate the GCD of 73 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 73 ÷ 27 = 2 remainder 19
2 27 ÷ 19 = 1 remainder 8
3 19 ÷ 8 = 2 remainder 3
4 8 ÷ 3 = 2 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
86 and 401720
87 and 524524
54 and 1183186
126 and 17321798
117 and 738541

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