Least Common Multiple (LCM) of 91 and 179
The least common multiple (LCM) of 91 and 179 is 16289.
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 91 and 179?
First, calculate the GCD of 91 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 179 = 0 remainder 91 |
| 2 | 179 ÷ 91 = 1 remainder 88 |
| 3 | 91 ÷ 88 = 1 remainder 3 |
| 4 | 88 ÷ 3 = 29 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 96 and 165 | 5280 |
| 146 and 111 | 16206 |
| 14 and 13 | 182 |
| 120 and 38 | 2280 |
| 128 and 128 | 128 |