Least Common Multiple (LCM) of 111 and 125
The least common multiple (LCM) of 111 and 125 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 111 and 125?
First, calculate the GCD of 111 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 125 = 0 remainder 111 |
| 2 | 125 ÷ 111 = 1 remainder 14 |
| 3 | 111 ÷ 14 = 7 remainder 13 |
| 4 | 14 ÷ 13 = 1 remainder 1 |
| 5 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 20 | 940 |
| 161 and 169 | 27209 |
| 143 and 73 | 10439 |
| 52 and 32 | 416 |
| 119 and 87 | 10353 |