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 |
|---|---|
| 185 and 89 | 16465 |
| 72 and 135 | 1080 |
| 70 and 112 | 560 |
| 60 and 16 | 240 |
| 186 and 118 | 10974 |