Least Common Multiple (LCM) of 99 and 51
The least common multiple (LCM) of 99 and 51 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 51?
First, calculate the GCD of 99 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 99 ÷ 51 = 1 remainder 48 |
| 2 | 51 ÷ 48 = 1 remainder 3 |
| 3 | 48 ÷ 3 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 148 | 4588 |
| 172 and 17 | 2924 |
| 193 and 71 | 13703 |
| 120 and 161 | 19320 |
| 175 and 196 | 4900 |