Least Common Multiple (LCM) of 110 and 13
The least common multiple (LCM) of 110 and 13 is 1430.
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 13?
First, calculate the GCD of 110 and 13 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 13 = 8 remainder 6 |
| 2 | 13 ÷ 6 = 2 remainder 1 |
| 3 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 30 | 570 |
| 56 and 195 | 10920 |
| 86 and 107 | 9202 |
| 14 and 76 | 532 |
| 141 and 63 | 2961 |