Least Common Multiple (LCM) of 179 and 91
The least common multiple (LCM) of 179 and 91 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 179 and 91?
First, calculate the GCD of 179 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 91 = 1 remainder 88 |
| 2 | 91 ÷ 88 = 1 remainder 3 |
| 3 | 88 ÷ 3 = 29 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 32 | 3936 |
| 113 and 158 | 17854 |
| 97 and 141 | 13677 |
| 176 and 76 | 3344 |
| 161 and 17 | 2737 |