Least Common Multiple (LCM) of 154 and 125
The least common multiple (LCM) of 154 and 125 is 19250.
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 154 and 125?
First, calculate the GCD of 154 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 125 = 1 remainder 29 |
| 2 | 125 ÷ 29 = 4 remainder 9 |
| 3 | 29 ÷ 9 = 3 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 59 | 8260 |
| 138 and 77 | 10626 |
| 194 and 182 | 17654 |
| 176 and 38 | 3344 |
| 24 and 46 | 552 |