Least Common Multiple (LCM) of 114 and 91
The least common multiple (LCM) of 114 and 91 is 10374.
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 91?
First, calculate the GCD of 114 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 91 = 1 remainder 23 |
| 2 | 91 ÷ 23 = 3 remainder 22 |
| 3 | 23 ÷ 22 = 1 remainder 1 |
| 4 | 22 ÷ 1 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 110 | 1430 |
| 130 and 86 | 5590 |
| 76 and 188 | 3572 |
| 88 and 191 | 16808 |
| 150 and 144 | 3600 |