Least Common Multiple (LCM) of 90 and 82
The least common multiple (LCM) of 90 and 82 is 3690.
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 90 and 82?
First, calculate the GCD of 90 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 90 ÷ 82 = 1 remainder 8 |
| 2 | 82 ÷ 8 = 10 remainder 2 |
| 3 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 160 | 2720 |
| 112 and 143 | 16016 |
| 123 and 66 | 2706 |
| 19 and 156 | 2964 |
| 58 and 72 | 2088 |