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Least Common Multiple (LCM) of 104 and 77

The least common multiple (LCM) of 104 and 77 is 8008.

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 104 and 77?

First, calculate the GCD of 104 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 104 ÷ 77 = 1 remainder 27
2 77 ÷ 27 = 2 remainder 23
3 27 ÷ 23 = 1 remainder 4
4 23 ÷ 4 = 5 remainder 3
5 4 ÷ 3 = 1 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
197 and 438471
114 and 1743306
56 and 1216776
179 and 6311277
28 and 1855180

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