Least Common Multiple (LCM) of 66 and 190
The least common multiple (LCM) of 66 and 190 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 190?
First, calculate the GCD of 66 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 190 = 0 remainder 66 |
| 2 | 190 ÷ 66 = 2 remainder 58 |
| 3 | 66 ÷ 58 = 1 remainder 8 |
| 4 | 58 ÷ 8 = 7 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 140 | 23380 |
| 89 and 177 | 15753 |
| 97 and 160 | 15520 |
| 147 and 33 | 1617 |
| 128 and 115 | 14720 |