Least Common Multiple (LCM) of 149 and 162
The least common multiple (LCM) of 149 and 162 is 24138.
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 162?
First, calculate the GCD of 149 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 162 = 0 remainder 149 |
| 2 | 162 ÷ 149 = 1 remainder 13 |
| 3 | 149 ÷ 13 = 11 remainder 6 |
| 4 | 13 ÷ 6 = 2 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 45 | 855 |
| 129 and 176 | 22704 |
| 17 and 165 | 2805 |
| 49 and 135 | 6615 |
| 42 and 98 | 294 |