Least Common Multiple (LCM) of 125 and 111
The least common multiple (LCM) of 125 and 111 is 13875.
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 111?
First, calculate the GCD of 125 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 111 = 1 remainder 14 |
| 2 | 111 ÷ 14 = 7 remainder 13 |
| 3 | 14 ÷ 13 = 1 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 149 | 28161 |
| 33 and 39 | 429 |
| 107 and 200 | 21400 |
| 164 and 106 | 8692 |
| 48 and 71 | 3408 |