Least Common Multiple (LCM) of 117 and 94
The least common multiple (LCM) of 117 and 94 is 10998.
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 117 and 94?
First, calculate the GCD of 117 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 117 ÷ 94 = 1 remainder 23 |
| 2 | 94 ÷ 23 = 4 remainder 2 |
| 3 | 23 ÷ 2 = 11 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 44 and 173 | 7612 |
| 144 and 122 | 8784 |
| 89 and 102 | 9078 |
| 196 and 65 | 12740 |
| 78 and 135 | 3510 |