Least Common Multiple (LCM) of 149 and 182
The least common multiple (LCM) of 149 and 182 is 27118.
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 182?
First, calculate the GCD of 149 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 182 = 0 remainder 149 |
| 2 | 182 ÷ 149 = 1 remainder 33 |
| 3 | 149 ÷ 33 = 4 remainder 17 |
| 4 | 33 ÷ 17 = 1 remainder 16 |
| 5 | 17 ÷ 16 = 1 remainder 1 |
| 6 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 164 | 19516 |
| 162 and 118 | 9558 |
| 60 and 143 | 8580 |
| 21 and 76 | 1596 |
| 104 and 54 | 2808 |