HowManyNumbers Logo

Least Common Multiple (LCM) of 13 and 28

The least common multiple (LCM) of 13 and 28 is 364.

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 28?

First, calculate the GCD of 13 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 13 ÷ 28 = 0 remainder 13
2 28 ÷ 13 = 2 remainder 2
3 13 ÷ 2 = 6 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
185 and 14326455
165 and 1447920
173 and 15126123
134 and 14519430
131 and 7710087

Try Calculating LCM of Other Numbers







Related Calculators