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Least Common Multiple (LCM) of 13 and 140

The least common multiple (LCM) of 13 and 140 is 1820.

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 13 and 140?

First, calculate the GCD of 13 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 13 ÷ 140 = 0 remainder 13
2 140 ÷ 13 = 10 remainder 10
3 13 ÷ 10 = 1 remainder 3
4 10 ÷ 3 = 3 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
49 and 13637
46 and 1356210
28 and 1313668
200 and 953800
51 and 119357

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