Least Common Multiple (LCM) of 149 and 146
The least common multiple (LCM) of 149 and 146 is 21754.
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 149 and 146?
First, calculate the GCD of 149 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 146 = 1 remainder 3 |
| 2 | 146 ÷ 3 = 48 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 16 | 2832 |
| 152 and 118 | 8968 |
| 111 and 45 | 1665 |
| 54 and 174 | 1566 |
| 193 and 123 | 23739 |