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Least Common Multiple (LCM) of 76 and 73

The least common multiple (LCM) of 76 and 73 is 5548.

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 76 and 73?

First, calculate the GCD of 76 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 76 ÷ 73 = 1 remainder 3
2 73 ÷ 3 = 24 remainder 1
3 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
16 and 1572512
96 and 18288
180 and 1703060
62 and 902790
29 and 22638

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