Least Common Multiple (LCM) of 141 and 125
The least common multiple (LCM) of 141 and 125 is 17625.
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 141 and 125?
First, calculate the GCD of 141 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 125 = 1 remainder 16 |
| 2 | 125 ÷ 16 = 7 remainder 13 |
| 3 | 16 ÷ 13 = 1 remainder 3 |
| 4 | 13 ÷ 3 = 4 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 39 | 4758 |
| 101 and 143 | 14443 |
| 113 and 93 | 10509 |
| 117 and 79 | 9243 |
| 107 and 174 | 18618 |