Least Common Multiple (LCM) of 149 and 121
The least common multiple (LCM) of 149 and 121 is 18029.
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 121?
First, calculate the GCD of 149 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 121 = 1 remainder 28 |
| 2 | 121 ÷ 28 = 4 remainder 9 |
| 3 | 28 ÷ 9 = 3 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 44 and 106 | 2332 |
| 172 and 149 | 25628 |
| 111 and 67 | 7437 |
| 107 and 190 | 20330 |
| 144 and 165 | 7920 |