Least Common Multiple (LCM) of 140 and 138
The least common multiple (LCM) of 140 and 138 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 140 and 138?
First, calculate the GCD of 140 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 138 = 1 remainder 2 |
| 2 | 138 ÷ 2 = 69 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 157 | 2355 |
| 196 and 116 | 5684 |
| 75 and 188 | 14100 |
| 30 and 194 | 2910 |
| 131 and 24 | 3144 |