Least Common Multiple (LCM) of 74 and 163
The least common multiple (LCM) of 74 and 163 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 74 and 163?
First, calculate the GCD of 74 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 74 ÷ 163 = 0 remainder 74 |
| 2 | 163 ÷ 74 = 2 remainder 15 |
| 3 | 74 ÷ 15 = 4 remainder 14 |
| 4 | 15 ÷ 14 = 1 remainder 1 |
| 5 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 92 | 7820 |
| 140 and 124 | 4340 |
| 38 and 138 | 2622 |
| 196 and 141 | 27636 |
| 138 and 65 | 8970 |