Least Common Multiple (LCM) of 140 and 155
The least common multiple (LCM) of 140 and 155 is 4340.
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 155?
First, calculate the GCD of 140 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 155 = 0 remainder 140 |
| 2 | 155 ÷ 140 = 1 remainder 15 |
| 3 | 140 ÷ 15 = 9 remainder 5 |
| 4 | 15 ÷ 5 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 42 | 42 |
| 124 and 120 | 3720 |
| 57 and 101 | 5757 |
| 133 and 185 | 24605 |
| 84 and 93 | 2604 |