HowManyNumbers Logo

Least Common Multiple (LCM) of 116 and 27

The least common multiple (LCM) of 116 and 27 is 3132.

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 116 and 27?

First, calculate the GCD of 116 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 116 ÷ 27 = 4 remainder 8
2 27 ÷ 8 = 3 remainder 3
3 8 ÷ 3 = 2 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
153 and 1507650
142 and 161136
71 and 15511005
192 and 16331296
34 and 1575338

Try Calculating LCM of Other Numbers







Related Calculators