Least Common Multiple (LCM) of 102 and 93
The least common multiple (LCM) of 102 and 93 is 3162.
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 102 and 93?
First, calculate the GCD of 102 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 93 = 1 remainder 9 |
| 2 | 93 ÷ 9 = 10 remainder 3 |
| 3 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 175 | 7175 |
| 45 and 14 | 630 |
| 199 and 78 | 15522 |
| 199 and 126 | 25074 |
| 100 and 107 | 10700 |