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Least Common Multiple (LCM) of 63 and 29

The least common multiple (LCM) of 63 and 29 is 1827.

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 63 and 29?

First, calculate the GCD of 63 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 63 ÷ 29 = 2 remainder 5
2 29 ÷ 5 = 5 remainder 4
3 5 ÷ 4 = 1 remainder 1
4 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
196 and 35980
197 and 6813396
186 and 706510
21 and 951995
153 and 16324939

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