Least Common Multiple (LCM) of 168 and 99
The least common multiple (LCM) of 168 and 99 is 5544.
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 168 and 99?
First, calculate the GCD of 168 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 99 = 1 remainder 69 |
| 2 | 99 ÷ 69 = 1 remainder 30 |
| 3 | 69 ÷ 30 = 2 remainder 9 |
| 4 | 30 ÷ 9 = 3 remainder 3 |
| 5 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 184 | 26680 |
| 141 and 180 | 8460 |
| 196 and 132 | 6468 |
| 14 and 77 | 154 |
| 87 and 141 | 4089 |