Least Common Multiple (LCM) of 179 and 182
The least common multiple (LCM) of 179 and 182 is 32578.
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 179 and 182?
First, calculate the GCD of 179 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 182 = 0 remainder 179 |
| 2 | 182 ÷ 179 = 1 remainder 3 |
| 3 | 179 ÷ 3 = 59 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 73 and 118 | 8614 |
| 89 and 109 | 9701 |
| 179 and 196 | 35084 |
| 190 and 153 | 29070 |
| 80 and 103 | 8240 |