Least Common Multiple (LCM) of 179 and 30
The least common multiple (LCM) of 179 and 30 is 5370.
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 30?
First, calculate the GCD of 179 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 30 = 5 remainder 29 |
| 2 | 30 ÷ 29 = 1 remainder 1 |
| 3 | 29 ÷ 1 = 29 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 96 | 14880 |
| 198 and 174 | 5742 |
| 27 and 92 | 2484 |
| 108 and 173 | 18684 |
| 162 and 174 | 4698 |