Least Common Multiple (LCM) of 163 and 152
The least common multiple (LCM) of 163 and 152 is 24776.
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 163 and 152?
First, calculate the GCD of 163 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 152 = 1 remainder 11 |
| 2 | 152 ÷ 11 = 13 remainder 9 |
| 3 | 11 ÷ 9 = 1 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 116 | 6148 |
| 85 and 34 | 170 |
| 93 and 136 | 12648 |
| 130 and 89 | 11570 |
| 165 and 177 | 9735 |