Least Common Multiple (LCM) of 163 and 74
The least common multiple (LCM) of 163 and 74 is 12062.
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 74?
First, calculate the GCD of 163 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 74 = 2 remainder 15 |
| 2 | 74 ÷ 15 = 4 remainder 14 |
| 3 | 15 ÷ 14 = 1 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 13 | 2353 |
| 137 and 125 | 17125 |
| 77 and 21 | 231 |
| 37 and 151 | 5587 |
| 159 and 83 | 13197 |