Least Common Multiple (LCM) of 139 and 111
The least common multiple (LCM) of 139 and 111 is 15429.
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 111?
First, calculate the GCD of 139 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 111 = 1 remainder 28 |
| 2 | 111 ÷ 28 = 3 remainder 27 |
| 3 | 28 ÷ 27 = 1 remainder 1 |
| 4 | 27 ÷ 1 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 39 and 190 | 7410 |
| 18 and 72 | 72 |
| 185 and 181 | 33485 |
| 160 and 122 | 9760 |
| 67 and 31 | 2077 |