Least Common Multiple (LCM) of 40 and 176
The least common multiple (LCM) of 40 and 176 is 880.
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 176?
First, calculate the GCD of 40 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 40 ÷ 176 = 0 remainder 40 |
| 2 | 176 ÷ 40 = 4 remainder 16 |
| 3 | 40 ÷ 16 = 2 remainder 8 |
| 4 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 80 | 13840 |
| 112 and 106 | 5936 |
| 131 and 21 | 2751 |
| 100 and 49 | 4900 |
| 139 and 45 | 6255 |