Least Common Multiple (LCM) of 121 and 79
The least common multiple (LCM) of 121 and 79 is 9559.
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 121 and 79?
First, calculate the GCD of 121 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 79 = 1 remainder 42 |
| 2 | 79 ÷ 42 = 1 remainder 37 |
| 3 | 42 ÷ 37 = 1 remainder 5 |
| 4 | 37 ÷ 5 = 7 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 169 | 15041 |
| 150 and 162 | 4050 |
| 82 and 11 | 902 |
| 90 and 135 | 270 |
| 76 and 104 | 1976 |