Least Common Multiple (LCM) of 95 and 39
The least common multiple (LCM) of 95 and 39 is 3705.
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 39?
First, calculate the GCD of 95 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 39 = 2 remainder 17 |
| 2 | 39 ÷ 17 = 2 remainder 5 |
| 3 | 17 ÷ 5 = 3 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 110 | 13530 |
| 171 and 192 | 10944 |
| 114 and 44 | 2508 |
| 177 and 10 | 1770 |
| 176 and 110 | 880 |