Least Common Multiple (LCM) of 132 and 90
The least common multiple (LCM) of 132 and 90 is 1980.
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 132 and 90?
First, calculate the GCD of 132 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 90 = 1 remainder 42 |
| 2 | 90 ÷ 42 = 2 remainder 6 |
| 3 | 42 ÷ 6 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 90 | 180 |
| 57 and 191 | 10887 |
| 104 and 104 | 104 |
| 106 and 69 | 7314 |
| 48 and 51 | 816 |