Least Common Multiple (LCM) of 149 and 145
The least common multiple (LCM) of 149 and 145 is 21605.
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 145?
First, calculate the GCD of 149 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 145 = 1 remainder 4 |
| 2 | 145 ÷ 4 = 36 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 119 | 16065 |
| 31 and 133 | 4123 |
| 135 and 112 | 15120 |
| 89 and 141 | 12549 |
| 35 and 21 | 105 |