Least Common Multiple (LCM) of 79 and 121
The least common multiple (LCM) of 79 and 121 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 79 and 121?
First, calculate the GCD of 79 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 121 = 0 remainder 79 |
| 2 | 121 ÷ 79 = 1 remainder 42 |
| 3 | 79 ÷ 42 = 1 remainder 37 |
| 4 | 42 ÷ 37 = 1 remainder 5 |
| 5 | 37 ÷ 5 = 7 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 59 | 10679 |
| 188 and 74 | 6956 |
| 131 and 122 | 15982 |
| 11 and 138 | 1518 |
| 198 and 108 | 1188 |