Least Common Multiple (LCM) of 194 and 79
The least common multiple (LCM) of 194 and 79 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 194 and 79?
First, calculate the GCD of 194 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 79 = 2 remainder 36 |
| 2 | 79 ÷ 36 = 2 remainder 7 |
| 3 | 36 ÷ 7 = 5 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 69 | 1104 |
| 45 and 53 | 2385 |
| 120 and 29 | 3480 |
| 22 and 84 | 924 |
| 110 and 146 | 8030 |