Least Common Multiple (LCM) of 45 and 179
The least common multiple (LCM) of 45 and 179 is 8055.
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 45 and 179?
First, calculate the GCD of 45 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 45 ÷ 179 = 0 remainder 45 |
| 2 | 179 ÷ 45 = 3 remainder 44 |
| 3 | 45 ÷ 44 = 1 remainder 1 |
| 4 | 44 ÷ 1 = 44 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 99 | 3663 |
| 111 and 25 | 2775 |
| 157 and 131 | 20567 |
| 185 and 34 | 6290 |
| 146 and 107 | 15622 |