Least Common Multiple (LCM) of 149 and 32
The least common multiple (LCM) of 149 and 32 is 4768.
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 32?
First, calculate the GCD of 149 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 32 = 4 remainder 21 |
| 2 | 32 ÷ 21 = 1 remainder 11 |
| 3 | 21 ÷ 11 = 1 remainder 10 |
| 4 | 11 ÷ 10 = 1 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 100 | 3700 |
| 181 and 112 | 20272 |
| 187 and 48 | 8976 |
| 44 and 51 | 2244 |
| 55 and 91 | 5005 |