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 |
|---|---|
| 123 and 111 | 4551 |
| 104 and 101 | 10504 |
| 154 and 147 | 3234 |
| 184 and 56 | 1288 |
| 180 and 164 | 7380 |