Least Common Multiple (LCM) of 140 and 38
The least common multiple (LCM) of 140 and 38 is 2660.
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 38?
First, calculate the GCD of 140 and 38 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 38 = 3 remainder 26 |
| 2 | 38 ÷ 26 = 1 remainder 12 |
| 3 | 26 ÷ 12 = 2 remainder 2 |
| 4 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 88 and 61 | 5368 |
| 103 and 90 | 9270 |
| 194 and 187 | 36278 |
| 151 and 62 | 9362 |
| 144 and 64 | 576 |