Least Common Multiple (LCM) of 191 and 90
The least common multiple (LCM) of 191 and 90 is 17190.
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 191 and 90?
First, calculate the GCD of 191 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 90 = 2 remainder 11 |
| 2 | 90 ÷ 11 = 8 remainder 2 |
| 3 | 11 ÷ 2 = 5 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 23 | 69 |
| 67 and 101 | 6767 |
| 186 and 88 | 8184 |
| 160 and 145 | 4640 |
| 188 and 47 | 188 |