Least Common Multiple (LCM) of 149 and 190
The least common multiple (LCM) of 149 and 190 is 28310.
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 190?
First, calculate the GCD of 149 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 190 = 0 remainder 149 |
| 2 | 190 ÷ 149 = 1 remainder 41 |
| 3 | 149 ÷ 41 = 3 remainder 26 |
| 4 | 41 ÷ 26 = 1 remainder 15 |
| 5 | 26 ÷ 15 = 1 remainder 11 |
| 6 | 15 ÷ 11 = 1 remainder 4 |
| 7 | 11 ÷ 4 = 2 remainder 3 |
| 8 | 4 ÷ 3 = 1 remainder 1 |
| 9 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 146 | 20294 |
| 79 and 167 | 13193 |
| 197 and 56 | 11032 |
| 55 and 52 | 2860 |
| 47 and 126 | 5922 |