Least Common Multiple (LCM) of 99 and 102
The least common multiple (LCM) of 99 and 102 is 3366.
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 99 and 102?
First, calculate the GCD of 99 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 99 ÷ 102 = 0 remainder 99 |
| 2 | 102 ÷ 99 = 1 remainder 3 |
| 3 | 99 ÷ 3 = 33 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 16 | 1488 |
| 89 and 114 | 10146 |
| 138 and 156 | 3588 |
| 153 and 110 | 16830 |
| 111 and 200 | 22200 |