Least Common Multiple (LCM) of 125 and 24
The least common multiple (LCM) of 125 and 24 is 3000.
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 125 and 24?
First, calculate the GCD of 125 and 24 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 24 = 5 remainder 5 |
| 2 | 24 ÷ 5 = 4 remainder 4 |
| 3 | 5 ÷ 4 = 1 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 187 | 32725 |
| 109 and 192 | 20928 |
| 50 and 151 | 7550 |
| 165 and 122 | 20130 |
| 79 and 104 | 8216 |