Least Common Multiple (LCM) of 66 and 94
The least common multiple (LCM) of 66 and 94 is 3102.
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 66 and 94?
First, calculate the GCD of 66 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 94 = 0 remainder 66 |
| 2 | 94 ÷ 66 = 1 remainder 28 |
| 3 | 66 ÷ 28 = 2 remainder 10 |
| 4 | 28 ÷ 10 = 2 remainder 8 |
| 5 | 10 ÷ 8 = 1 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 138 | 13524 |
| 70 and 30 | 210 |
| 190 and 181 | 34390 |
| 139 and 141 | 19599 |
| 72 and 142 | 5112 |