HowManyNumbers Logo

Least Common Multiple (LCM) of 47 and 116

The least common multiple (LCM) of 47 and 116 is 5452.

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 47 and 116?

First, calculate the GCD of 47 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 47 ÷ 116 = 0 remainder 47
2 116 ÷ 47 = 2 remainder 22
3 47 ÷ 22 = 2 remainder 3
4 22 ÷ 3 = 7 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
94 and 9494
85 and 262210
194 and 19738218
42 and 1723612
68 and 541836

Try Calculating LCM of Other Numbers







Related Calculators