Least Common Multiple (LCM) of 87 and 174
The least common multiple (LCM) of 87 and 174 is 174.
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 87 and 174?
First, calculate the GCD of 87 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 87 ÷ 174 = 0 remainder 87 |
| 2 | 174 ÷ 87 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 77 | 1848 |
| 165 and 193 | 31845 |
| 71 and 25 | 1775 |
| 199 and 178 | 35422 |
| 107 and 132 | 14124 |