Least Common Multiple (LCM) of 179 and 110
The least common multiple (LCM) of 179 and 110 is 19690.
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 110?
First, calculate the GCD of 179 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 110 = 1 remainder 69 |
| 2 | 110 ÷ 69 = 1 remainder 41 |
| 3 | 69 ÷ 41 = 1 remainder 28 |
| 4 | 41 ÷ 28 = 1 remainder 13 |
| 5 | 28 ÷ 13 = 2 remainder 2 |
| 6 | 13 ÷ 2 = 6 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 117 | 117 |
| 73 and 135 | 9855 |
| 174 and 24 | 696 |
| 132 and 17 | 2244 |
| 189 and 132 | 8316 |