Least Common Multiple (LCM) of 79 and 194
The least common multiple (LCM) of 79 and 194 is 15326.
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 194?
First, calculate the GCD of 79 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 194 = 0 remainder 79 |
| 2 | 194 ÷ 79 = 2 remainder 36 |
| 3 | 79 ÷ 36 = 2 remainder 7 |
| 4 | 36 ÷ 7 = 5 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 19 | 2071 |
| 122 and 89 | 10858 |
| 123 and 93 | 3813 |
| 197 and 36 | 7092 |
| 80 and 104 | 1040 |