Least Common Multiple (LCM) of 132 and 110
The least common multiple (LCM) of 132 and 110 is 660.
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 110?
First, calculate the GCD of 132 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 110 = 1 remainder 22 |
| 2 | 110 ÷ 22 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 34 | 2278 |
| 164 and 105 | 17220 |
| 172 and 150 | 12900 |
| 168 and 123 | 6888 |
| 76 and 123 | 9348 |