Least Common Multiple (LCM) of 68 and 94
The least common multiple (LCM) of 68 and 94 is 3196.
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 68 and 94?
First, calculate the GCD of 68 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 68 ÷ 94 = 0 remainder 68 |
| 2 | 94 ÷ 68 = 1 remainder 26 |
| 3 | 68 ÷ 26 = 2 remainder 16 |
| 4 | 26 ÷ 16 = 1 remainder 10 |
| 5 | 16 ÷ 10 = 1 remainder 6 |
| 6 | 10 ÷ 6 = 1 remainder 4 |
| 7 | 6 ÷ 4 = 1 remainder 2 |
| 8 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 184 | 13064 |
| 188 and 41 | 7708 |
| 46 and 103 | 4738 |
| 171 and 30 | 1710 |
| 141 and 167 | 23547 |