Least Common Multiple (LCM) of 114 and 79
The least common multiple (LCM) of 114 and 79 is 9006.
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 114 and 79?
First, calculate the GCD of 114 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 79 = 1 remainder 35 |
| 2 | 79 ÷ 35 = 2 remainder 9 |
| 3 | 35 ÷ 9 = 3 remainder 8 |
| 4 | 9 ÷ 8 = 1 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 82 | 6806 |
| 116 and 99 | 11484 |
| 129 and 15 | 645 |
| 121 and 17 | 2057 |
| 31 and 145 | 4495 |