Least Common Multiple (LCM) of 149 and 113
The least common multiple (LCM) of 149 and 113 is 16837.
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 113?
First, calculate the GCD of 149 and 113 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 113 = 1 remainder 36 |
| 2 | 113 ÷ 36 = 3 remainder 5 |
| 3 | 36 ÷ 5 = 7 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 40 and 104 | 520 |
| 197 and 37 | 7289 |
| 113 and 36 | 4068 |
| 61 and 89 | 5429 |
| 45 and 199 | 8955 |