Least Common Multiple (LCM) of 94 and 42
The least common multiple (LCM) of 94 and 42 is 1974.
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 94 and 42?
First, calculate the GCD of 94 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 42 = 2 remainder 10 |
| 2 | 42 ÷ 10 = 4 remainder 2 |
| 3 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 98 and 91 | 1274 |
| 104 and 187 | 19448 |
| 77 and 155 | 11935 |
| 174 and 149 | 25926 |
| 13 and 45 | 585 |