Least Common Multiple (LCM) of 149 and 119
The least common multiple (LCM) of 149 and 119 is 17731.
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 119?
First, calculate the GCD of 149 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 119 = 1 remainder 30 |
| 2 | 119 ÷ 30 = 3 remainder 29 |
| 3 | 30 ÷ 29 = 1 remainder 1 |
| 4 | 29 ÷ 1 = 29 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 200 | 2200 |
| 147 and 77 | 1617 |
| 196 and 24 | 1176 |
| 34 and 82 | 1394 |
| 33 and 14 | 462 |