Least Common Multiple (LCM) of 125 and 149
The least common multiple (LCM) of 125 and 149 is 18625.
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 149?
First, calculate the GCD of 125 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 149 = 0 remainder 125 |
| 2 | 149 ÷ 125 = 1 remainder 24 |
| 3 | 125 ÷ 24 = 5 remainder 5 |
| 4 | 24 ÷ 5 = 4 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 91 | 12376 |
| 124 and 172 | 5332 |
| 81 and 165 | 4455 |
| 59 and 160 | 9440 |
| 147 and 129 | 6321 |