Least Common Multiple (LCM) of 149 and 61
The least common multiple (LCM) of 149 and 61 is 9089.
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 61?
First, calculate the GCD of 149 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 61 = 2 remainder 27 |
| 2 | 61 ÷ 27 = 2 remainder 7 |
| 3 | 27 ÷ 7 = 3 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 23 | 3289 |
| 47 and 103 | 4841 |
| 15 and 183 | 915 |
| 13 and 28 | 364 |
| 151 and 182 | 27482 |