Least Common Multiple (LCM) of 125 and 121
The least common multiple (LCM) of 125 and 121 is 15125.
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 121?
First, calculate the GCD of 125 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 121 = 1 remainder 4 |
| 2 | 121 ÷ 4 = 30 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 11 | 1705 |
| 180 and 62 | 5580 |
| 62 and 127 | 7874 |
| 13 and 99 | 1287 |
| 162 and 73 | 11826 |