Least Common Multiple (LCM) of 110 and 76
The least common multiple (LCM) of 110 and 76 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 110 and 76?
First, calculate the GCD of 110 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 76 = 1 remainder 34 |
| 2 | 76 ÷ 34 = 2 remainder 8 |
| 3 | 34 ÷ 8 = 4 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 166 | 24402 |
| 12 and 192 | 192 |
| 191 and 77 | 14707 |
| 92 and 126 | 5796 |
| 164 and 106 | 8692 |