Least Common Multiple (LCM) of 94 and 179
The least common multiple (LCM) of 94 and 179 is 16826.
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 94 and 179?
First, calculate the GCD of 94 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 179 = 0 remainder 94 |
| 2 | 179 ÷ 94 = 1 remainder 85 |
| 3 | 94 ÷ 85 = 1 remainder 9 |
| 4 | 85 ÷ 9 = 9 remainder 4 |
| 5 | 9 ÷ 4 = 2 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 156 | 21372 |
| 16 and 168 | 336 |
| 199 and 167 | 33233 |
| 110 and 79 | 8690 |
| 118 and 118 | 118 |