HowManyNumbers Logo

Least Common Multiple (LCM) of 16 and 30

The least common multiple (LCM) of 16 and 30 is 240.

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 16 and 30?

First, calculate the GCD of 16 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 16 ÷ 30 = 0 remainder 16
2 30 ÷ 16 = 1 remainder 14
3 16 ÷ 14 = 1 remainder 2
4 14 ÷ 2 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
19 and 18342
188 and 14613724
26 and 1582054
46 and 1195474
200 and 15815800

Try Calculating LCM of Other Numbers







Related Calculators