Least Common Multiple (LCM) of 163 and 52
The least common multiple (LCM) of 163 and 52 is 8476.
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 52?
First, calculate the GCD of 163 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 52 = 3 remainder 7 |
| 2 | 52 ÷ 7 = 7 remainder 3 |
| 3 | 7 ÷ 3 = 2 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 108 | 7884 |
| 124 and 48 | 1488 |
| 29 and 32 | 928 |
| 173 and 114 | 19722 |
| 162 and 179 | 28998 |