Least Common Multiple (LCM) of 116 and 24
The least common multiple (LCM) of 116 and 24 is 696.
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 24?
First, calculate the GCD of 116 and 24 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 24 = 4 remainder 20 |
| 2 | 24 ÷ 20 = 1 remainder 4 |
| 3 | 20 ÷ 4 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 167 | 25718 |
| 118 and 15 | 1770 |
| 80 and 118 | 4720 |
| 108 and 132 | 1188 |
| 126 and 76 | 4788 |