Least Common Multiple (LCM) of 140 and 97
The least common multiple (LCM) of 140 and 97 is 13580.
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 97?
First, calculate the GCD of 140 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 97 = 1 remainder 43 |
| 2 | 97 ÷ 43 = 2 remainder 11 |
| 3 | 43 ÷ 11 = 3 remainder 10 |
| 4 | 11 ÷ 10 = 1 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 131 | 3013 |
| 127 and 178 | 22606 |
| 143 and 140 | 20020 |
| 83 and 60 | 4980 |
| 32 and 85 | 2720 |