Least Common Multiple (LCM) of 42 and 94
The least common multiple (LCM) of 42 and 94 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 42 and 94?
First, calculate the GCD of 42 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 42 ÷ 94 = 0 remainder 42 |
| 2 | 94 ÷ 42 = 2 remainder 10 |
| 3 | 42 ÷ 10 = 4 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 57 | 11001 |
| 155 and 110 | 3410 |
| 135 and 124 | 16740 |
| 127 and 123 | 15621 |
| 92 and 82 | 3772 |