Least Common Multiple (LCM) of 79 and 156
The least common multiple (LCM) of 79 and 156 is 12324.
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 156?
First, calculate the GCD of 79 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 156 = 0 remainder 79 |
| 2 | 156 ÷ 79 = 1 remainder 77 |
| 3 | 79 ÷ 77 = 1 remainder 2 |
| 4 | 77 ÷ 2 = 38 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 105 | 3885 |
| 23 and 146 | 3358 |
| 57 and 107 | 6099 |
| 43 and 29 | 1247 |
| 144 and 43 | 6192 |