Least Common Multiple (LCM) of 198 and 90
The least common multiple (LCM) of 198 and 90 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 198 and 90?
First, calculate the GCD of 198 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 90 = 2 remainder 18 |
| 2 | 90 ÷ 18 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 124 | 11780 |
| 77 and 176 | 1232 |
| 147 and 116 | 17052 |
| 64 and 130 | 4160 |
| 102 and 150 | 2550 |