Least Common Multiple (LCM) of 149 and 66
The least common multiple (LCM) of 149 and 66 is 9834.
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 66?
First, calculate the GCD of 149 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 66 = 2 remainder 17 |
| 2 | 66 ÷ 17 = 3 remainder 15 |
| 3 | 17 ÷ 15 = 1 remainder 2 |
| 4 | 15 ÷ 2 = 7 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 90 | 1530 |
| 51 and 41 | 2091 |
| 191 and 113 | 21583 |
| 19 and 13 | 247 |
| 85 and 59 | 5015 |