Least Common Multiple (LCM) of 178 and 41
The least common multiple (LCM) of 178 and 41 is 7298.
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 41?
First, calculate the GCD of 178 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 41 = 4 remainder 14 |
| 2 | 41 ÷ 14 = 2 remainder 13 |
| 3 | 14 ÷ 13 = 1 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 77 | 154 |
| 70 and 44 | 1540 |
| 80 and 195 | 3120 |
| 118 and 80 | 4720 |
| 175 and 109 | 19075 |