Least Common Multiple (LCM) of 125 and 154
The least common multiple (LCM) of 125 and 154 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 125 and 154?
First, calculate the GCD of 125 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 154 = 0 remainder 125 |
| 2 | 154 ÷ 125 = 1 remainder 29 |
| 3 | 125 ÷ 29 = 4 remainder 9 |
| 4 | 29 ÷ 9 = 3 remainder 2 |
| 5 | 9 ÷ 2 = 4 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 190 | 14630 |
| 100 and 146 | 7300 |
| 160 and 138 | 11040 |
| 117 and 94 | 10998 |
| 117 and 23 | 2691 |