Least Common Multiple (LCM) of 79 and 182
The least common multiple (LCM) of 79 and 182 is 14378.
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 182?
First, calculate the GCD of 79 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 182 = 0 remainder 79 |
| 2 | 182 ÷ 79 = 2 remainder 24 |
| 3 | 79 ÷ 24 = 3 remainder 7 |
| 4 | 24 ÷ 7 = 3 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 42 | 3738 |
| 150 and 97 | 14550 |
| 89 and 79 | 7031 |
| 23 and 38 | 874 |
| 127 and 114 | 14478 |