Least Common Multiple (LCM) of 139 and 45
The least common multiple (LCM) of 139 and 45 is 6255.
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 139 and 45?
First, calculate the GCD of 139 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 45 = 3 remainder 4 |
| 2 | 45 ÷ 4 = 11 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 108 | 9612 |
| 137 and 90 | 12330 |
| 120 and 185 | 4440 |
| 91 and 99 | 9009 |
| 146 and 175 | 25550 |