Least Common Multiple (LCM) of 97 and 179
The least common multiple (LCM) of 97 and 179 is 17363.
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 97 and 179?
First, calculate the GCD of 97 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 179 = 0 remainder 97 |
| 2 | 179 ÷ 97 = 1 remainder 82 |
| 3 | 97 ÷ 82 = 1 remainder 15 |
| 4 | 82 ÷ 15 = 5 remainder 7 |
| 5 | 15 ÷ 7 = 2 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 47 and 146 | 6862 |
| 114 and 98 | 5586 |
| 152 and 107 | 16264 |
| 68 and 133 | 9044 |
| 196 and 52 | 2548 |