Least Common Multiple (LCM) of 79 and 66
The least common multiple (LCM) of 79 and 66 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 79 and 66?
First, calculate the GCD of 79 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 66 = 1 remainder 13 |
| 2 | 66 ÷ 13 = 5 remainder 1 |
| 3 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 161 | 21735 |
| 72 and 80 | 720 |
| 41 and 103 | 4223 |
| 173 and 100 | 17300 |
| 187 and 111 | 20757 |