Least Common Multiple (LCM) of 73 and 125
The least common multiple (LCM) of 73 and 125 is 9125.
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 73 and 125?
First, calculate the GCD of 73 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 125 = 0 remainder 73 |
| 2 | 125 ÷ 73 = 1 remainder 52 |
| 3 | 73 ÷ 52 = 1 remainder 21 |
| 4 | 52 ÷ 21 = 2 remainder 10 |
| 5 | 21 ÷ 10 = 2 remainder 1 |
| 6 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 189 | 20034 |
| 72 and 36 | 72 |
| 102 and 21 | 714 |
| 67 and 102 | 6834 |
| 144 and 197 | 28368 |