Least Common Multiple (LCM) of 178 and 87
The least common multiple (LCM) of 178 and 87 is 15486.
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 178 and 87?
First, calculate the GCD of 178 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 87 = 2 remainder 4 |
| 2 | 87 ÷ 4 = 21 remainder 3 |
| 3 | 4 ÷ 3 = 1 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 98 and 32 | 1568 |
| 120 and 187 | 22440 |
| 147 and 155 | 22785 |
| 128 and 53 | 6784 |
| 55 and 173 | 9515 |