Least Common Multiple (LCM) of 149 and 194
The least common multiple (LCM) of 149 and 194 is 28906.
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 194?
First, calculate the GCD of 149 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 194 = 0 remainder 149 |
| 2 | 194 ÷ 149 = 1 remainder 45 |
| 3 | 149 ÷ 45 = 3 remainder 14 |
| 4 | 45 ÷ 14 = 3 remainder 3 |
| 5 | 14 ÷ 3 = 4 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 57 | 5700 |
| 90 and 59 | 5310 |
| 84 and 146 | 6132 |
| 187 and 188 | 35156 |
| 167 and 37 | 6179 |