HowManyNumbers Logo

Least Common Multiple (LCM) of 16 and 150

The least common multiple (LCM) of 16 and 150 is 1200.

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 150?

First, calculate the GCD of 16 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 16 ÷ 150 = 0 remainder 16
2 150 ÷ 16 = 9 remainder 6
3 16 ÷ 6 = 2 remainder 4
4 6 ÷ 4 = 1 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
39 and 1335187
112 and 631008
68 and 1786052
129 and 11014190
189 and 1403780

Try Calculating LCM of Other Numbers







Related Calculators