Least Common Multiple (LCM) of 176 and 97
The least common multiple (LCM) of 176 and 97 is 17072.
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 176 and 97?
First, calculate the GCD of 176 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 97 = 1 remainder 79 |
| 2 | 97 ÷ 79 = 1 remainder 18 |
| 3 | 79 ÷ 18 = 4 remainder 7 |
| 4 | 18 ÷ 7 = 2 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 185 | 24605 |
| 39 and 61 | 2379 |
| 181 and 180 | 32580 |
| 53 and 125 | 6625 |
| 98 and 35 | 490 |