Least Common Multiple (LCM) of 95 and 139
The least common multiple (LCM) of 95 and 139 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 95 and 139?
First, calculate the GCD of 95 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 139 = 0 remainder 95 |
| 2 | 139 ÷ 95 = 1 remainder 44 |
| 3 | 95 ÷ 44 = 2 remainder 7 |
| 4 | 44 ÷ 7 = 6 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 89 | 89 |
| 64 and 200 | 1600 |
| 177 and 194 | 34338 |
| 80 and 157 | 12560 |
| 108 and 27 | 108 |