Least Common Multiple (LCM) of 90 and 61
The least common multiple (LCM) of 90 and 61 is 5490.
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 61?
First, calculate the GCD of 90 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 90 ÷ 61 = 1 remainder 29 |
| 2 | 61 ÷ 29 = 2 remainder 3 |
| 3 | 29 ÷ 3 = 9 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 10 | 1870 |
| 192 and 83 | 15936 |
| 189 and 11 | 2079 |
| 125 and 156 | 19500 |
| 18 and 35 | 630 |