Least Common Multiple (LCM) of 138 and 140
The least common multiple (LCM) of 138 and 140 is 9660.
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 138 and 140?
First, calculate the GCD of 138 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 140 = 0 remainder 138 |
| 2 | 140 ÷ 138 = 1 remainder 2 |
| 3 | 138 ÷ 2 = 69 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 24 | 1368 |
| 175 and 94 | 16450 |
| 80 and 68 | 1360 |
| 22 and 65 | 1430 |
| 167 and 123 | 20541 |