Least Common Multiple (LCM) of 76 and 110
The least common multiple (LCM) of 76 and 110 is 4180.
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 76 and 110?
First, calculate the GCD of 76 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 76 ÷ 110 = 0 remainder 76 |
| 2 | 110 ÷ 76 = 1 remainder 34 |
| 3 | 76 ÷ 34 = 2 remainder 8 |
| 4 | 34 ÷ 8 = 4 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 155 | 30380 |
| 156 and 155 | 24180 |
| 150 and 187 | 28050 |
| 20 and 29 | 580 |
| 165 and 41 | 6765 |