Least Common Multiple (LCM) of 149 and 133
The least common multiple (LCM) of 149 and 133 is 19817.
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 133?
First, calculate the GCD of 149 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 133 = 1 remainder 16 |
| 2 | 133 ÷ 16 = 8 remainder 5 |
| 3 | 16 ÷ 5 = 3 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 190 | 1710 |
| 122 and 126 | 7686 |
| 60 and 175 | 2100 |
| 32 and 77 | 2464 |
| 103 and 23 | 2369 |