Least Common Multiple (LCM) of 174 and 176
The least common multiple (LCM) of 174 and 176 is 15312.
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 176?
First, calculate the GCD of 174 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 176 = 0 remainder 174 |
| 2 | 176 ÷ 174 = 1 remainder 2 |
| 3 | 174 ÷ 2 = 87 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 10 | 1670 |
| 163 and 136 | 22168 |
| 140 and 146 | 10220 |
| 142 and 13 | 1846 |
| 151 and 51 | 7701 |