Least Common Multiple (LCM) of 99 and 153
The least common multiple (LCM) of 99 and 153 is 1683.
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 153?
First, calculate the GCD of 99 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 99 ÷ 153 = 0 remainder 99 |
| 2 | 153 ÷ 99 = 1 remainder 54 |
| 3 | 99 ÷ 54 = 1 remainder 45 |
| 4 | 54 ÷ 45 = 1 remainder 9 |
| 5 | 45 ÷ 9 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 45 | 5085 |
| 171 and 68 | 11628 |
| 110 and 56 | 3080 |
| 47 and 80 | 3760 |
| 174 and 59 | 10266 |