Least Common Multiple (LCM) of 125 and 141
The least common multiple (LCM) of 125 and 141 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 125 and 141?
First, calculate the GCD of 125 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 141 = 0 remainder 125 |
| 2 | 141 ÷ 125 = 1 remainder 16 |
| 3 | 125 ÷ 16 = 7 remainder 13 |
| 4 | 16 ÷ 13 = 1 remainder 3 |
| 5 | 13 ÷ 3 = 4 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 142 | 16614 |
| 46 and 159 | 7314 |
| 190 and 84 | 7980 |
| 37 and 191 | 7067 |
| 132 and 152 | 5016 |