Least Common Multiple (LCM) of 194 and 178
The least common multiple (LCM) of 194 and 178 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 194 and 178?
First, calculate the GCD of 194 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 178 = 1 remainder 16 |
| 2 | 178 ÷ 16 = 11 remainder 2 |
| 3 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 35 | 1855 |
| 137 and 152 | 20824 |
| 87 and 98 | 8526 |
| 162 and 180 | 1620 |
| 114 and 161 | 18354 |