Least Common Multiple (LCM) of 159 and 148
The least common multiple (LCM) of 159 and 148 is 23532.
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 159 and 148?
First, calculate the GCD of 159 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 148 = 1 remainder 11 |
| 2 | 148 ÷ 11 = 13 remainder 5 |
| 3 | 11 ÷ 5 = 2 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 99 | 17721 |
| 161 and 188 | 30268 |
| 141 and 90 | 4230 |
| 154 and 159 | 24486 |
| 77 and 49 | 539 |