Least Common Multiple (LCM) of 198 and 55
The least common multiple (LCM) of 198 and 55 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 55?
First, calculate the GCD of 198 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 55 = 3 remainder 33 |
| 2 | 55 ÷ 33 = 1 remainder 22 |
| 3 | 33 ÷ 22 = 1 remainder 11 |
| 4 | 22 ÷ 11 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 136 | 2584 |
| 73 and 146 | 146 |
| 170 and 167 | 28390 |
| 119 and 115 | 13685 |
| 133 and 88 | 11704 |