HowManyNumbers Logo

Least Common Multiple (LCM) of 36 and 40

The least common multiple (LCM) of 36 and 40 is 360.

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 40?

First, calculate the GCD of 36 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 36 ÷ 40 = 0 remainder 36
2 40 ÷ 36 = 1 remainder 4
3 36 ÷ 4 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
197 and 6011820
54 and 66594
40 and 1881880
92 and 1764048
143 and 8211726

Try Calculating LCM of Other Numbers







Related Calculators