Least Common Multiple (LCM) of 174 and 188
The least common multiple (LCM) of 174 and 188 is 16356.
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 174 and 188?
First, calculate the GCD of 174 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 188 = 0 remainder 174 |
| 2 | 188 ÷ 174 = 1 remainder 14 |
| 3 | 174 ÷ 14 = 12 remainder 6 |
| 4 | 14 ÷ 6 = 2 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 186 | 27714 |
| 141 and 30 | 1410 |
| 173 and 68 | 11764 |
| 127 and 53 | 6731 |
| 46 and 74 | 1702 |