Least Common Multiple (LCM) of 77 and 99
The least common multiple (LCM) of 77 and 99 is 693.
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 77 and 99?
First, calculate the GCD of 77 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 77 ÷ 99 = 0 remainder 77 |
| 2 | 99 ÷ 77 = 1 remainder 22 |
| 3 | 77 ÷ 22 = 3 remainder 11 |
| 4 | 22 ÷ 11 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 67 | 12730 |
| 119 and 167 | 19873 |
| 199 and 123 | 24477 |
| 197 and 37 | 7289 |
| 123 and 65 | 7995 |