Least Common Multiple (LCM) of 183 and 79
The least common multiple (LCM) of 183 and 79 is 14457.
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 183 and 79?
First, calculate the GCD of 183 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 79 = 2 remainder 25 |
| 2 | 79 ÷ 25 = 3 remainder 4 |
| 3 | 25 ÷ 4 = 6 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 13 | 2249 |
| 43 and 108 | 4644 |
| 55 and 72 | 3960 |
| 42 and 35 | 210 |
| 132 and 95 | 12540 |