Least Common Multiple (LCM) of 140 and 23
The least common multiple (LCM) of 140 and 23 is 3220.
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 23?
First, calculate the GCD of 140 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 23 = 6 remainder 2 |
| 2 | 23 ÷ 2 = 11 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 84 and 12 | 84 |
| 87 and 129 | 3741 |
| 138 and 165 | 7590 |
| 145 and 60 | 1740 |
| 173 and 36 | 6228 |