HowManyNumbers Logo

Least Common Multiple (LCM) of 15 and 31

The least common multiple (LCM) of 15 and 31 is 465.

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 15 and 31?

First, calculate the GCD of 15 and 31 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 15 ÷ 31 = 0 remainder 15
2 31 ÷ 15 = 2 remainder 1
3 15 ÷ 1 = 15 remainder 0

Examples of LCM Calculations

NumbersLCM
162 and 12410044
24 and 1433432
168 and 1961176
71 and 12852
14 and 147294

Try Calculating LCM of Other Numbers







Related Calculators