Least Common Multiple (LCM) of 146 and 110
The least common multiple (LCM) of 146 and 110 is 8030.
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 146 and 110?
First, calculate the GCD of 146 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 110 = 1 remainder 36 |
| 2 | 110 ÷ 36 = 3 remainder 2 |
| 3 | 36 ÷ 2 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 50 | 1400 |
| 132 and 171 | 7524 |
| 176 and 180 | 7920 |
| 120 and 181 | 21720 |
| 80 and 81 | 6480 |