Least Common Multiple (LCM) of 178 and 91
The least common multiple (LCM) of 178 and 91 is 16198.
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 91?
First, calculate the GCD of 178 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 91 = 1 remainder 87 |
| 2 | 91 ÷ 87 = 1 remainder 4 |
| 3 | 87 ÷ 4 = 21 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 149 | 6258 |
| 101 and 101 | 101 |
| 116 and 46 | 2668 |
| 49 and 163 | 7987 |
| 144 and 52 | 1872 |