Least Common Multiple (LCM) of 79 and 114
The least common multiple (LCM) of 79 and 114 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 79 and 114?
First, calculate the GCD of 79 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 114 = 0 remainder 79 |
| 2 | 114 ÷ 79 = 1 remainder 35 |
| 3 | 79 ÷ 35 = 2 remainder 9 |
| 4 | 35 ÷ 9 = 3 remainder 8 |
| 5 | 9 ÷ 8 = 1 remainder 1 |
| 6 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 153 | 26316 |
| 150 and 144 | 3600 |
| 93 and 124 | 372 |
| 199 and 59 | 11741 |
| 153 and 30 | 1530 |