Least Common Multiple (LCM) of 44 and 87
The least common multiple (LCM) of 44 and 87 is 3828.
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 87?
First, calculate the GCD of 44 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 87 = 0 remainder 44 |
| 2 | 87 ÷ 44 = 1 remainder 43 |
| 3 | 44 ÷ 43 = 1 remainder 1 |
| 4 | 43 ÷ 1 = 43 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 105 | 1050 |
| 172 and 79 | 13588 |
| 90 and 156 | 2340 |
| 145 and 126 | 18270 |
| 40 and 23 | 920 |