Least Common Multiple (LCM) of 159 and 152
The least common multiple (LCM) of 159 and 152 is 24168.
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 152?
First, calculate the GCD of 159 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 152 = 1 remainder 7 |
| 2 | 152 ÷ 7 = 21 remainder 5 |
| 3 | 7 ÷ 5 = 1 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 11 | 1584 |
| 47 and 129 | 6063 |
| 158 and 90 | 7110 |
| 147 and 14 | 294 |
| 141 and 175 | 24675 |