Least Common Multiple (LCM) of 51 and 79
The least common multiple (LCM) of 51 and 79 is 4029.
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 51 and 79?
First, calculate the GCD of 51 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 51 ÷ 79 = 0 remainder 51 |
| 2 | 79 ÷ 51 = 1 remainder 28 |
| 3 | 51 ÷ 28 = 1 remainder 23 |
| 4 | 28 ÷ 23 = 1 remainder 5 |
| 5 | 23 ÷ 5 = 4 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 94 and 128 | 6016 |
| 149 and 99 | 14751 |
| 56 and 145 | 8120 |
| 126 and 166 | 10458 |
| 16 and 105 | 1680 |