Least Common Multiple (LCM) of 183 and 179
The least common multiple (LCM) of 183 and 179 is 32757.
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 179?
First, calculate the GCD of 183 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 179 = 1 remainder 4 |
| 2 | 179 ÷ 4 = 44 remainder 3 |
| 3 | 4 ÷ 3 = 1 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 36 | 1980 |
| 136 and 15 | 2040 |
| 178 and 118 | 10502 |
| 119 and 66 | 7854 |
| 157 and 34 | 5338 |