Least Common Multiple (LCM) of 90 and 141
The least common multiple (LCM) of 90 and 141 is 4230.
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 141?
First, calculate the GCD of 90 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 90 ÷ 141 = 0 remainder 90 |
| 2 | 141 ÷ 90 = 1 remainder 51 |
| 3 | 90 ÷ 51 = 1 remainder 39 |
| 4 | 51 ÷ 39 = 1 remainder 12 |
| 5 | 39 ÷ 12 = 3 remainder 3 |
| 6 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 97 | 13774 |
| 156 and 22 | 1716 |
| 175 and 18 | 3150 |
| 70 and 163 | 11410 |
| 89 and 161 | 14329 |