Least Common Multiple (LCM) of 110 and 61
The least common multiple (LCM) of 110 and 61 is 6710.
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 61?
First, calculate the GCD of 110 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 61 = 1 remainder 49 |
| 2 | 61 ÷ 49 = 1 remainder 12 |
| 3 | 49 ÷ 12 = 4 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 134 | 3886 |
| 24 and 114 | 456 |
| 134 and 36 | 2412 |
| 155 and 131 | 20305 |
| 145 and 21 | 3045 |