Least Common Multiple (LCM) of 163 and 153
The least common multiple (LCM) of 163 and 153 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 163 and 153?
First, calculate the GCD of 163 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 153 = 1 remainder 10 |
| 2 | 153 ÷ 10 = 15 remainder 3 |
| 3 | 10 ÷ 3 = 3 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 98 | 16954 |
| 112 and 119 | 1904 |
| 185 and 67 | 12395 |
| 109 and 29 | 3161 |
| 77 and 43 | 3311 |