Least Common Multiple (LCM) of 180 and 91
The least common multiple (LCM) of 180 and 91 is 16380.
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 180 and 91?
First, calculate the GCD of 180 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 91 = 1 remainder 89 |
| 2 | 91 ÷ 89 = 1 remainder 2 |
| 3 | 89 ÷ 2 = 44 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 57 | 2793 |
| 132 and 111 | 4884 |
| 185 and 62 | 11470 |
| 128 and 162 | 10368 |
| 173 and 189 | 32697 |