Least Common Multiple (LCM) of 178 and 97
The least common multiple (LCM) of 178 and 97 is 17266.
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 178 and 97?
First, calculate the GCD of 178 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 97 = 1 remainder 81 |
| 2 | 97 ÷ 81 = 1 remainder 16 |
| 3 | 81 ÷ 16 = 5 remainder 1 |
| 4 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 78 | 7410 |
| 127 and 116 | 14732 |
| 40 and 14 | 280 |
| 18 and 46 | 414 |
| 118 and 47 | 5546 |