Least Common Multiple (LCM) of 149 and 41
The least common multiple (LCM) of 149 and 41 is 6109.
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 41?
First, calculate the GCD of 149 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 41 = 3 remainder 26 |
| 2 | 41 ÷ 26 = 1 remainder 15 |
| 3 | 26 ÷ 15 = 1 remainder 11 |
| 4 | 15 ÷ 11 = 1 remainder 4 |
| 5 | 11 ÷ 4 = 2 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 59 and 70 | 4130 |
| 46 and 120 | 2760 |
| 163 and 49 | 7987 |
| 110 and 18 | 990 |
| 70 and 195 | 2730 |