Least Common Multiple (LCM) of 108 and 24
The least common multiple (LCM) of 108 and 24 is 216.
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 108 and 24?
First, calculate the GCD of 108 and 24 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 108 ÷ 24 = 4 remainder 12 |
| 2 | 24 ÷ 12 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 136 | 17816 |
| 100 and 18 | 900 |
| 182 and 136 | 12376 |
| 145 and 123 | 17835 |
| 146 and 95 | 13870 |