Least Common Multiple (LCM) of 79 and 99
The least common multiple (LCM) of 79 and 99 is 7821.
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 79 and 99?
First, calculate the GCD of 79 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 99 = 0 remainder 79 |
| 2 | 99 ÷ 79 = 1 remainder 20 |
| 3 | 79 ÷ 20 = 3 remainder 19 |
| 4 | 20 ÷ 19 = 1 remainder 1 |
| 5 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 99 | 19107 |
| 164 and 33 | 5412 |
| 159 and 72 | 3816 |
| 127 and 163 | 20701 |
| 134 and 136 | 9112 |