Least Common Multiple (LCM) of 113 and 94
The least common multiple (LCM) of 113 and 94 is 10622.
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 113 and 94?
First, calculate the GCD of 113 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 113 ÷ 94 = 1 remainder 19 |
| 2 | 94 ÷ 19 = 4 remainder 18 |
| 3 | 19 ÷ 18 = 1 remainder 1 |
| 4 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 115 | 16560 |
| 87 and 37 | 3219 |
| 89 and 170 | 15130 |
| 124 and 192 | 5952 |
| 72 and 144 | 144 |