Least Common Multiple (LCM) of 79 and 84
The least common multiple (LCM) of 79 and 84 is 6636.
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 84?
First, calculate the GCD of 79 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 84 = 0 remainder 79 |
| 2 | 84 ÷ 79 = 1 remainder 5 |
| 3 | 79 ÷ 5 = 15 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 59 and 45 | 2655 |
| 43 and 155 | 6665 |
| 187 and 122 | 22814 |
| 77 and 193 | 14861 |
| 31 and 77 | 2387 |