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 |
|---|---|
| 114 and 149 | 16986 |
| 54 and 193 | 10422 |
| 127 and 163 | 20701 |
| 36 and 32 | 288 |
| 45 and 167 | 7515 |