Least Common Multiple (LCM) of 111 and 139
The least common multiple (LCM) of 111 and 139 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 111 and 139?
First, calculate the GCD of 111 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 139 = 0 remainder 111 |
| 2 | 139 ÷ 111 = 1 remainder 28 |
| 3 | 111 ÷ 28 = 3 remainder 27 |
| 4 | 28 ÷ 27 = 1 remainder 1 |
| 5 | 27 ÷ 1 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 122 | 10614 |
| 100 and 40 | 200 |
| 14 and 22 | 154 |
| 150 and 34 | 2550 |
| 109 and 109 | 109 |