Least Common Multiple (LCM) of 176 and 140
The least common multiple (LCM) of 176 and 140 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 176 and 140?
First, calculate the GCD of 176 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 140 = 1 remainder 36 |
| 2 | 140 ÷ 36 = 3 remainder 32 |
| 3 | 36 ÷ 32 = 1 remainder 4 |
| 4 | 32 ÷ 4 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 111 | 7215 |
| 185 and 110 | 4070 |
| 140 and 160 | 1120 |
| 154 and 169 | 26026 |
| 30 and 155 | 930 |