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Least Common Multiple (LCM) of 77 and 73

The least common multiple (LCM) of 77 and 73 is 5621.

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 77 and 73?

First, calculate the GCD of 77 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 77 ÷ 73 = 1 remainder 4
2 73 ÷ 4 = 18 remainder 1
3 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
79 and 158158
178 and 14325454
157 and 507850
193 and 214053
32 and 1013232

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