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Least Common Multiple (LCM) of 29 and 13

The least common multiple (LCM) of 29 and 13 is 377.

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 29 and 13?

First, calculate the GCD of 29 and 13 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 29 ÷ 13 = 2 remainder 3
2 13 ÷ 3 = 4 remainder 1
3 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
59 and 975723
104 and 313224
96 and 1761056
41 and 1717011
76 and 903420

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