Least Common Multiple (LCM) of 38 and 93
The least common multiple (LCM) of 38 and 93 is 3534.
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 93?
First, calculate the GCD of 38 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 38 ÷ 93 = 0 remainder 38 |
| 2 | 93 ÷ 38 = 2 remainder 17 |
| 3 | 38 ÷ 17 = 2 remainder 4 |
| 4 | 17 ÷ 4 = 4 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 78 | 3510 |
| 152 and 106 | 8056 |
| 65 and 54 | 3510 |
| 139 and 196 | 27244 |
| 115 and 30 | 690 |