Least Common Multiple (LCM) of 95 and 91
The least common multiple (LCM) of 95 and 91 is 8645.
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 91?
First, calculate the GCD of 95 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 91 = 1 remainder 4 |
| 2 | 91 ÷ 4 = 22 remainder 3 |
| 3 | 4 ÷ 3 = 1 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 73 | 13140 |
| 69 and 70 | 4830 |
| 182 and 144 | 13104 |
| 170 and 156 | 13260 |
| 100 and 73 | 7300 |