Least Common Multiple (LCM) of 188 and 174
The least common multiple (LCM) of 188 and 174 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 188 and 174?
First, calculate the GCD of 188 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 174 = 1 remainder 14 |
| 2 | 174 ÷ 14 = 12 remainder 6 |
| 3 | 14 ÷ 6 = 2 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 79 | 14457 |
| 107 and 111 | 11877 |
| 190 and 135 | 5130 |
| 88 and 189 | 16632 |
| 13 and 31 | 403 |