Least Common Multiple (LCM) of 66 and 95
The least common multiple (LCM) of 66 and 95 is 6270.
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 66 and 95?
First, calculate the GCD of 66 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 95 = 0 remainder 66 |
| 2 | 95 ÷ 66 = 1 remainder 29 |
| 3 | 66 ÷ 29 = 2 remainder 8 |
| 4 | 29 ÷ 8 = 3 remainder 5 |
| 5 | 8 ÷ 5 = 1 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 53 | 4611 |
| 135 and 99 | 1485 |
| 198 and 45 | 990 |
| 130 and 80 | 1040 |
| 186 and 149 | 27714 |