Least Common Multiple (LCM) of 90 and 96
The least common multiple (LCM) of 90 and 96 is 1440.
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 96?
First, calculate the GCD of 90 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 90 ÷ 96 = 0 remainder 90 |
| 2 | 96 ÷ 90 = 1 remainder 6 |
| 3 | 90 ÷ 6 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 111 | 17427 |
| 102 and 47 | 4794 |
| 133 and 16 | 2128 |
| 190 and 124 | 11780 |
| 50 and 138 | 3450 |