Least Common Multiple (LCM) of 102 and 110
The least common multiple (LCM) of 102 and 110 is 5610.
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 102 and 110?
First, calculate the GCD of 102 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 110 = 0 remainder 102 |
| 2 | 110 ÷ 102 = 1 remainder 8 |
| 3 | 102 ÷ 8 = 12 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 59 and 111 | 6549 |
| 41 and 80 | 3280 |
| 123 and 22 | 2706 |
| 97 and 170 | 16490 |
| 134 and 11 | 1474 |