Least Common Multiple (LCM) of 90 and 43
The least common multiple (LCM) of 90 and 43 is 3870.
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 43?
First, calculate the GCD of 90 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 90 ÷ 43 = 2 remainder 4 |
| 2 | 43 ÷ 4 = 10 remainder 3 |
| 3 | 4 ÷ 3 = 1 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 59 | 5133 |
| 141 and 198 | 9306 |
| 86 and 111 | 9546 |
| 128 and 14 | 896 |
| 109 and 150 | 16350 |