Least Common Multiple (LCM) of 79 and 130
The least common multiple (LCM) of 79 and 130 is 10270.
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 130?
First, calculate the GCD of 79 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 130 = 0 remainder 79 |
| 2 | 130 ÷ 79 = 1 remainder 51 |
| 3 | 79 ÷ 51 = 1 remainder 28 |
| 4 | 51 ÷ 28 = 1 remainder 23 |
| 5 | 28 ÷ 23 = 1 remainder 5 |
| 6 | 23 ÷ 5 = 4 remainder 3 |
| 7 | 5 ÷ 3 = 1 remainder 2 |
| 8 | 3 ÷ 2 = 1 remainder 1 |
| 9 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 67 | 10184 |
| 76 and 14 | 532 |
| 29 and 33 | 957 |
| 10 and 167 | 1670 |
| 56 and 44 | 616 |