Least Common Multiple (LCM) of 140 and 71
The least common multiple (LCM) of 140 and 71 is 9940.
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 71?
First, calculate the GCD of 140 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 71 = 1 remainder 69 |
| 2 | 71 ÷ 69 = 1 remainder 2 |
| 3 | 69 ÷ 2 = 34 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 77 | 12551 |
| 93 and 194 | 18042 |
| 141 and 192 | 9024 |
| 147 and 27 | 1323 |
| 72 and 110 | 3960 |