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Least Common Multiple (LCM) of 76 and 29

The least common multiple (LCM) of 76 and 29 is 2204.

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 29?

First, calculate the GCD of 76 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 76 ÷ 29 = 2 remainder 18
2 29 ÷ 18 = 1 remainder 11
3 18 ÷ 11 = 1 remainder 7
4 11 ÷ 7 = 1 remainder 4
5 7 ÷ 4 = 1 remainder 3
6 4 ÷ 3 = 1 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
80 and 191520
65 and 1137345
57 and 864902
196 and 316076
110 and 14115510

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