Least Common Multiple (LCM) of 140 and 144
The least common multiple (LCM) of 140 and 144 is 5040.
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 144?
First, calculate the GCD of 140 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 144 = 0 remainder 140 |
| 2 | 144 ÷ 140 = 1 remainder 4 |
| 3 | 140 ÷ 4 = 35 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 143 | 20163 |
| 172 and 118 | 10148 |
| 99 and 154 | 1386 |
| 186 and 146 | 13578 |
| 133 and 189 | 3591 |