Least Common Multiple (LCM) of 93 and 138
The least common multiple (LCM) of 93 and 138 is 4278.
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 93 and 138?
First, calculate the GCD of 93 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 138 = 0 remainder 93 |
| 2 | 138 ÷ 93 = 1 remainder 45 |
| 3 | 93 ÷ 45 = 2 remainder 3 |
| 4 | 45 ÷ 3 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 90 | 16830 |
| 128 and 78 | 4992 |
| 198 and 168 | 5544 |
| 23 and 43 | 989 |
| 62 and 159 | 9858 |