Least Common Multiple (LCM) of 44 and 141
The least common multiple (LCM) of 44 and 141 is 6204.
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 44 and 141?
First, calculate the GCD of 44 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 141 = 0 remainder 44 |
| 2 | 141 ÷ 44 = 3 remainder 9 |
| 3 | 44 ÷ 9 = 4 remainder 8 |
| 4 | 9 ÷ 8 = 1 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 134 | 3618 |
| 113 and 55 | 6215 |
| 197 and 56 | 11032 |
| 104 and 54 | 2808 |
| 103 and 113 | 11639 |