Least Common Multiple (LCM) of 79 and 117
The least common multiple (LCM) of 79 and 117 is 9243.
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 117?
First, calculate the GCD of 79 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 117 = 0 remainder 79 |
| 2 | 117 ÷ 79 = 1 remainder 38 |
| 3 | 79 ÷ 38 = 2 remainder 3 |
| 4 | 38 ÷ 3 = 12 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 38 | 1178 |
| 96 and 71 | 6816 |
| 45 and 117 | 585 |
| 41 and 73 | 2993 |
| 41 and 199 | 8159 |