Least Common Multiple (LCM) of 93 and 125
The least common multiple (LCM) of 93 and 125 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 93 and 125?
First, calculate the GCD of 93 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 125 = 0 remainder 93 |
| 2 | 125 ÷ 93 = 1 remainder 32 |
| 3 | 93 ÷ 32 = 2 remainder 29 |
| 4 | 32 ÷ 29 = 1 remainder 3 |
| 5 | 29 ÷ 3 = 9 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 28 and 162 | 2268 |
| 107 and 189 | 20223 |
| 72 and 182 | 6552 |
| 132 and 171 | 7524 |
| 28 and 156 | 1092 |