Least Common Multiple (LCM) of 79 and 181
The least common multiple (LCM) of 79 and 181 is 14299.
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 181?
First, calculate the GCD of 79 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 181 = 0 remainder 79 |
| 2 | 181 ÷ 79 = 2 remainder 23 |
| 3 | 79 ÷ 23 = 3 remainder 10 |
| 4 | 23 ÷ 10 = 2 remainder 3 |
| 5 | 10 ÷ 3 = 3 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 105 | 3990 |
| 178 and 156 | 13884 |
| 180 and 114 | 3420 |
| 101 and 200 | 20200 |
| 194 and 98 | 9506 |