Least Common Multiple (LCM) of 174 and 187
The least common multiple (LCM) of 174 and 187 is 32538.
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 187?
First, calculate the GCD of 174 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 187 = 0 remainder 174 |
| 2 | 187 ÷ 174 = 1 remainder 13 |
| 3 | 174 ÷ 13 = 13 remainder 5 |
| 4 | 13 ÷ 5 = 2 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 35 | 4095 |
| 15 and 121 | 1815 |
| 132 and 102 | 2244 |
| 198 and 194 | 19206 |
| 34 and 164 | 2788 |