Least Common Multiple (LCM) of 149 and 199
The least common multiple (LCM) of 149 and 199 is 29651.
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 199?
First, calculate the GCD of 149 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 199 = 0 remainder 149 |
| 2 | 199 ÷ 149 = 1 remainder 50 |
| 3 | 149 ÷ 50 = 2 remainder 49 |
| 4 | 50 ÷ 49 = 1 remainder 1 |
| 5 | 49 ÷ 1 = 49 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 144 | 15696 |
| 70 and 23 | 1610 |
| 174 and 132 | 3828 |
| 147 and 165 | 8085 |
| 12 and 70 | 420 |