Least Common Multiple (LCM) of 99 and 34
The least common multiple (LCM) of 99 and 34 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 34?
First, calculate the GCD of 99 and 34 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 99 ÷ 34 = 2 remainder 31 |
| 2 | 34 ÷ 31 = 1 remainder 3 |
| 3 | 31 ÷ 3 = 10 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 73 | 5840 |
| 14 and 70 | 70 |
| 194 and 191 | 37054 |
| 169 and 90 | 15210 |
| 143 and 161 | 23023 |