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Least Common Multiple (LCM) of 49 and 13

The least common multiple (LCM) of 49 and 13 is 637.

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 49 and 13?

First, calculate the GCD of 49 and 13 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 49 ÷ 13 = 3 remainder 10
2 13 ÷ 10 = 1 remainder 3
3 10 ÷ 3 = 3 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
168 and 491176
155 and 551705
80 and 128640
87 and 413567
28 and 1761232

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