Least Common Multiple (LCM) of 79 and 113
The least common multiple (LCM) of 79 and 113 is 8927.
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 113?
First, calculate the GCD of 79 and 113 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 113 = 0 remainder 79 |
| 2 | 113 ÷ 79 = 1 remainder 34 |
| 3 | 79 ÷ 34 = 2 remainder 11 |
| 4 | 34 ÷ 11 = 3 remainder 1 |
| 5 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 44 and 140 | 1540 |
| 101 and 26 | 2626 |
| 76 and 190 | 380 |
| 186 and 135 | 8370 |
| 124 and 107 | 13268 |