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 |
|---|---|
| 150 and 73 | 10950 |
| 157 and 53 | 8321 |
| 94 and 182 | 8554 |
| 153 and 111 | 5661 |
| 58 and 88 | 2552 |