Least Common Multiple (LCM) of 139 and 95
The least common multiple (LCM) of 139 and 95 is 13205.
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 95?
First, calculate the GCD of 139 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 95 = 1 remainder 44 |
| 2 | 95 ÷ 44 = 2 remainder 7 |
| 3 | 44 ÷ 7 = 6 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 65 | 12870 |
| 161 and 131 | 21091 |
| 56 and 87 | 4872 |
| 41 and 39 | 1599 |
| 116 and 16 | 464 |