Least Common Multiple (LCM) of 153 and 163
The least common multiple (LCM) of 153 and 163 is 24939.
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 153 and 163?
First, calculate the GCD of 153 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 163 = 0 remainder 153 |
| 2 | 163 ÷ 153 = 1 remainder 10 |
| 3 | 153 ÷ 10 = 15 remainder 3 |
| 4 | 10 ÷ 3 = 3 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 200 | 26600 |
| 42 and 184 | 3864 |
| 159 and 59 | 9381 |
| 124 and 167 | 20708 |
| 67 and 15 | 1005 |