Least Common Multiple (LCM) of 110 and 148
The least common multiple (LCM) of 110 and 148 is 8140.
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 148?
First, calculate the GCD of 110 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 148 = 0 remainder 110 |
| 2 | 148 ÷ 110 = 1 remainder 38 |
| 3 | 110 ÷ 38 = 2 remainder 34 |
| 4 | 38 ÷ 34 = 1 remainder 4 |
| 5 | 34 ÷ 4 = 8 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 157 | 22608 |
| 156 and 138 | 3588 |
| 164 and 136 | 5576 |
| 75 and 140 | 2100 |
| 85 and 181 | 15385 |