Least Common Multiple (LCM) of 114 and 93
The least common multiple (LCM) of 114 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 114 and 93?
First, calculate the GCD of 114 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 93 = 1 remainder 21 |
| 2 | 93 ÷ 21 = 4 remainder 9 |
| 3 | 21 ÷ 9 = 2 remainder 3 |
| 4 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 140 | 19180 |
| 76 and 48 | 912 |
| 101 and 76 | 7676 |
| 185 and 96 | 17760 |
| 38 and 179 | 6802 |