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Least Common Multiple (LCM) of 53 and 77

The least common multiple (LCM) of 53 and 77 is 4081.

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 53 and 77?

First, calculate the GCD of 53 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 53 ÷ 77 = 0 remainder 53
2 77 ÷ 53 = 1 remainder 24
3 53 ÷ 24 = 2 remainder 5
4 24 ÷ 5 = 4 remainder 4
5 5 ÷ 4 = 1 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
131 and 13517685
126 and 556930
45 and 1215445
46 and 1102530
196 and 17016660

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