Least Common Multiple (LCM) of 110 and 97
The least common multiple (LCM) of 110 and 97 is 10670.
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 97?
First, calculate the GCD of 110 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 97 = 1 remainder 13 |
| 2 | 97 ÷ 13 = 7 remainder 6 |
| 3 | 13 ÷ 6 = 2 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 45 | 495 |
| 171 and 152 | 1368 |
| 188 and 167 | 31396 |
| 183 and 172 | 31476 |
| 33 and 154 | 462 |