Least Common Multiple (LCM) of 179 and 18
The least common multiple (LCM) of 179 and 18 is 3222.
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 18?
First, calculate the GCD of 179 and 18 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 18 = 9 remainder 17 |
| 2 | 18 ÷ 17 = 1 remainder 1 |
| 3 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 135 | 16740 |
| 129 and 32 | 4128 |
| 160 and 40 | 160 |
| 129 and 104 | 13416 |
| 79 and 51 | 4029 |