Least Common Multiple (LCM) of 90 and 179
The least common multiple (LCM) of 90 and 179 is 16110.
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 90 and 179?
First, calculate the GCD of 90 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 90 ÷ 179 = 0 remainder 90 |
| 2 | 179 ÷ 90 = 1 remainder 89 |
| 3 | 90 ÷ 89 = 1 remainder 1 |
| 4 | 89 ÷ 1 = 89 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 130 | 9230 |
| 90 and 51 | 1530 |
| 130 and 89 | 11570 |
| 142 and 175 | 24850 |
| 105 and 195 | 1365 |