Least Common Multiple (LCM) of 159 and 175
The least common multiple (LCM) of 159 and 175 is 27825.
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 175?
First, calculate the GCD of 159 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 175 = 0 remainder 159 |
| 2 | 175 ÷ 159 = 1 remainder 16 |
| 3 | 159 ÷ 16 = 9 remainder 15 |
| 4 | 16 ÷ 15 = 1 remainder 1 |
| 5 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 136 | 11832 |
| 190 and 40 | 760 |
| 47 and 113 | 5311 |
| 53 and 69 | 3657 |
| 165 and 183 | 10065 |