Least Common Multiple (LCM) of 66 and 79
The least common multiple (LCM) of 66 and 79 is 5214.
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 79?
First, calculate the GCD of 66 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 79 = 0 remainder 66 |
| 2 | 79 ÷ 66 = 1 remainder 13 |
| 3 | 66 ÷ 13 = 5 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 19 | 3325 |
| 154 and 121 | 1694 |
| 188 and 188 | 188 |
| 129 and 14 | 1806 |
| 144 and 112 | 1008 |