Least Common Multiple (LCM) of 24 and 25
The least common multiple (LCM) of 24 and 25 is 600.
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 24 and 25?
First, calculate the GCD of 24 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 24 ÷ 25 = 0 remainder 24 |
| 2 | 25 ÷ 24 = 1 remainder 1 |
| 3 | 24 ÷ 1 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 183 | 8967 |
| 14 and 127 | 1778 |
| 125 and 165 | 4125 |
| 151 and 29 | 4379 |
| 105 and 158 | 16590 |