Least Common Multiple (LCM) of 90 and 66
The least common multiple (LCM) of 90 and 66 is 990.
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 90 and 66?
First, calculate the GCD of 90 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 90 ÷ 66 = 1 remainder 24 |
| 2 | 66 ÷ 24 = 2 remainder 18 |
| 3 | 24 ÷ 18 = 1 remainder 6 |
| 4 | 18 ÷ 6 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 48 | 4848 |
| 58 and 16 | 464 |
| 132 and 192 | 2112 |
| 133 and 69 | 9177 |
| 188 and 156 | 7332 |