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 |
|---|---|
| 103 and 152 | 15656 |
| 29 and 66 | 1914 |
| 107 and 181 | 19367 |
| 128 and 74 | 4736 |
| 94 and 162 | 7614 |