Least Common Multiple (LCM) of 91 and 90
The least common multiple (LCM) of 91 and 90 is 8190.
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 90?
First, calculate the GCD of 91 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 90 = 1 remainder 1 |
| 2 | 90 ÷ 1 = 90 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 179 | 20048 |
| 102 and 80 | 4080 |
| 181 and 50 | 9050 |
| 126 and 92 | 5796 |
| 30 and 162 | 810 |