HowManyNumbers Logo

Least Common Multiple (LCM) of 36 and 150

The least common multiple (LCM) of 36 and 150 is 900.

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 36 and 150?

First, calculate the GCD of 36 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 36 ÷ 150 = 0 remainder 36
2 150 ÷ 36 = 4 remainder 6
3 36 ÷ 6 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
62 and 1083348
16 and 771232
147 and 13419698
93 and 16915717
20 and 711420

Try Calculating LCM of Other Numbers







Related Calculators