Least Common Multiple (LCM) of 125 and 158
The least common multiple (LCM) of 125 and 158 is 19750.
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 158?
First, calculate the GCD of 125 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 158 = 0 remainder 125 |
| 2 | 158 ÷ 125 = 1 remainder 33 |
| 3 | 125 ÷ 33 = 3 remainder 26 |
| 4 | 33 ÷ 26 = 1 remainder 7 |
| 5 | 26 ÷ 7 = 3 remainder 5 |
| 6 | 7 ÷ 5 = 1 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 136 | 16728 |
| 123 and 15 | 615 |
| 91 and 73 | 6643 |
| 53 and 172 | 9116 |
| 124 and 105 | 13020 |