Least Common Multiple (LCM) of 139 and 65
The least common multiple (LCM) of 139 and 65 is 9035.
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 65?
First, calculate the GCD of 139 and 65 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 65 = 2 remainder 9 |
| 2 | 65 ÷ 9 = 7 remainder 2 |
| 3 | 9 ÷ 2 = 4 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 62 | 4216 |
| 172 and 191 | 32852 |
| 119 and 90 | 10710 |
| 150 and 177 | 8850 |
| 19 and 57 | 57 |