Least Common Multiple (LCM) of 181 and 42
The least common multiple (LCM) of 181 and 42 is 7602.
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 181 and 42?
First, calculate the GCD of 181 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 42 = 4 remainder 13 |
| 2 | 42 ÷ 13 = 3 remainder 3 |
| 3 | 13 ÷ 3 = 4 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 98 | 10682 |
| 120 and 165 | 1320 |
| 173 and 55 | 9515 |
| 82 and 62 | 2542 |
| 114 and 105 | 3990 |