Least Common Multiple (LCM) of 139 and 110
The least common multiple (LCM) of 139 and 110 is 15290.
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 110?
First, calculate the GCD of 139 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 110 = 1 remainder 29 |
| 2 | 110 ÷ 29 = 3 remainder 23 |
| 3 | 29 ÷ 23 = 1 remainder 6 |
| 4 | 23 ÷ 6 = 3 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 50 and 193 | 9650 |
| 111 and 42 | 1554 |
| 149 and 168 | 25032 |
| 118 and 59 | 118 |
| 124 and 168 | 5208 |