Least Common Multiple (LCM) of 67 and 94
The least common multiple (LCM) of 67 and 94 is 6298.
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 67 and 94?
First, calculate the GCD of 67 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 67 ÷ 94 = 0 remainder 67 |
| 2 | 94 ÷ 67 = 1 remainder 27 |
| 3 | 67 ÷ 27 = 2 remainder 13 |
| 4 | 27 ÷ 13 = 2 remainder 1 |
| 5 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 31 | 155 |
| 175 and 16 | 2800 |
| 21 and 190 | 3990 |
| 78 and 142 | 5538 |
| 126 and 192 | 4032 |