Least Common Multiple (LCM) of 157 and 159
The least common multiple (LCM) of 157 and 159 is 24963.
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 157 and 159?
First, calculate the GCD of 157 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 159 = 0 remainder 157 |
| 2 | 159 ÷ 157 = 1 remainder 2 |
| 3 | 157 ÷ 2 = 78 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 137 | 2466 |
| 58 and 21 | 1218 |
| 35 and 22 | 770 |
| 110 and 16 | 880 |
| 75 and 72 | 1800 |