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 |
|---|---|
| 199 and 102 | 20298 |
| 42 and 93 | 1302 |
| 38 and 141 | 5358 |
| 163 and 132 | 21516 |
| 33 and 71 | 2343 |