Least Common Multiple (LCM) of 149 and 159
The least common multiple (LCM) of 149 and 159 is 23691.
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 159?
First, calculate the GCD of 149 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 159 = 0 remainder 149 |
| 2 | 159 ÷ 149 = 1 remainder 10 |
| 3 | 149 ÷ 10 = 14 remainder 9 |
| 4 | 10 ÷ 9 = 1 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 130 | 14690 |
| 96 and 136 | 1632 |
| 169 and 168 | 28392 |
| 178 and 18 | 1602 |
| 80 and 100 | 400 |