Least Common Multiple (LCM) of 79 and 180
The least common multiple (LCM) of 79 and 180 is 14220.
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 180?
First, calculate the GCD of 79 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 180 = 0 remainder 79 |
| 2 | 180 ÷ 79 = 2 remainder 22 |
| 3 | 79 ÷ 22 = 3 remainder 13 |
| 4 | 22 ÷ 13 = 1 remainder 9 |
| 5 | 13 ÷ 9 = 1 remainder 4 |
| 6 | 9 ÷ 4 = 2 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 61 | 8235 |
| 128 and 82 | 5248 |
| 41 and 90 | 3690 |
| 20 and 29 | 580 |
| 154 and 85 | 13090 |