Least Common Multiple (LCM) of 149 and 69
The least common multiple (LCM) of 149 and 69 is 10281.
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 69?
First, calculate the GCD of 149 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 69 = 2 remainder 11 |
| 2 | 69 ÷ 11 = 6 remainder 3 |
| 3 | 11 ÷ 3 = 3 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 43 and 146 | 6278 |
| 125 and 189 | 23625 |
| 188 and 84 | 3948 |
| 50 and 185 | 1850 |
| 35 and 14 | 70 |