Least Common Multiple (LCM) of 140 and 176
The least common multiple (LCM) of 140 and 176 is 6160.
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 140 and 176?
First, calculate the GCD of 140 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 176 = 0 remainder 140 |
| 2 | 176 ÷ 140 = 1 remainder 36 |
| 3 | 140 ÷ 36 = 3 remainder 32 |
| 4 | 36 ÷ 32 = 1 remainder 4 |
| 5 | 32 ÷ 4 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 177 | 33630 |
| 146 and 87 | 12702 |
| 70 and 45 | 630 |
| 90 and 45 | 90 |
| 15 and 133 | 1995 |