Least Common Multiple (LCM) of 38 and 35
The least common multiple (LCM) of 38 and 35 is 1330.
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 38 and 35?
First, calculate the GCD of 38 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 38 ÷ 35 = 1 remainder 3 |
| 2 | 35 ÷ 3 = 11 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 105 | 4305 |
| 27 and 91 | 2457 |
| 174 and 191 | 33234 |
| 107 and 12 | 1284 |
| 161 and 78 | 12558 |