Least Common Multiple (LCM) of 79 and 126
The least common multiple (LCM) of 79 and 126 is 9954.
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 126?
First, calculate the GCD of 79 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 126 = 0 remainder 79 |
| 2 | 126 ÷ 79 = 1 remainder 47 |
| 3 | 79 ÷ 47 = 1 remainder 32 |
| 4 | 47 ÷ 32 = 1 remainder 15 |
| 5 | 32 ÷ 15 = 2 remainder 2 |
| 6 | 15 ÷ 2 = 7 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 23 | 3427 |
| 196 and 13 | 2548 |
| 126 and 189 | 378 |
| 39 and 168 | 2184 |
| 109 and 136 | 14824 |