Least Common Multiple (LCM) of 40 and 182
The least common multiple (LCM) of 40 and 182 is 3640.
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 40 and 182?
First, calculate the GCD of 40 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 40 ÷ 182 = 0 remainder 40 |
| 2 | 182 ÷ 40 = 4 remainder 22 |
| 3 | 40 ÷ 22 = 1 remainder 18 |
| 4 | 22 ÷ 18 = 1 remainder 4 |
| 5 | 18 ÷ 4 = 4 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 93 and 33 | 1023 |
| 192 and 47 | 9024 |
| 55 and 91 | 5005 |
| 115 and 175 | 4025 |
| 128 and 100 | 3200 |