Least Common Multiple (LCM) of 15 and 149
The least common multiple (LCM) of 15 and 149 is 2235.
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 15 and 149?
First, calculate the GCD of 15 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 15 ÷ 149 = 0 remainder 15 |
| 2 | 149 ÷ 15 = 9 remainder 14 |
| 3 | 15 ÷ 14 = 1 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 140 | 2660 |
| 49 and 69 | 3381 |
| 116 and 13 | 1508 |
| 15 and 159 | 795 |
| 28 and 82 | 1148 |