Least Common Multiple (LCM) of 125 and 52
The least common multiple (LCM) of 125 and 52 is 6500.
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 52?
First, calculate the GCD of 125 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 52 = 2 remainder 21 |
| 2 | 52 ÷ 21 = 2 remainder 10 |
| 3 | 21 ÷ 10 = 2 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 63 and 36 | 252 |
| 181 and 111 | 20091 |
| 19 and 19 | 19 |
| 91 and 20 | 1820 |
| 100 and 185 | 3700 |