Least Common Multiple (LCM) of 125 and 93
The least common multiple (LCM) of 125 and 93 is 11625.
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 93?
First, calculate the GCD of 125 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 93 = 1 remainder 32 |
| 2 | 93 ÷ 32 = 2 remainder 29 |
| 3 | 32 ÷ 29 = 1 remainder 3 |
| 4 | 29 ÷ 3 = 9 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 79 | 6478 |
| 82 and 84 | 3444 |
| 174 and 20 | 1740 |
| 109 and 114 | 12426 |
| 141 and 102 | 4794 |