Least Common Multiple (LCM) of 140 and 154
The least common multiple (LCM) of 140 and 154 is 1540.
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 154?
First, calculate the GCD of 140 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 154 = 0 remainder 140 |
| 2 | 154 ÷ 140 = 1 remainder 14 |
| 3 | 140 ÷ 14 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 77 | 2849 |
| 120 and 135 | 1080 |
| 125 and 79 | 9875 |
| 133 and 111 | 14763 |
| 89 and 122 | 10858 |