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Least Common Multiple (LCM) of 73 and 51

The least common multiple (LCM) of 73 and 51 is 3723.

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 51?

First, calculate the GCD of 73 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 73 ÷ 51 = 1 remainder 22
2 51 ÷ 22 = 2 remainder 7
3 22 ÷ 7 = 3 remainder 1
4 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
42 and 1463066
113 and 18821244
189 and 15128539
75 and 125375
179 and 407160

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