Least Common Multiple (LCM) of 149 and 67
The least common multiple (LCM) of 149 and 67 is 9983.
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 67?
First, calculate the GCD of 149 and 67 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 67 = 2 remainder 15 |
| 2 | 67 ÷ 15 = 4 remainder 7 |
| 3 | 15 ÷ 7 = 2 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 125 | 3625 |
| 71 and 43 | 3053 |
| 110 and 128 | 7040 |
| 43 and 66 | 2838 |
| 177 and 53 | 9381 |