Least Common Multiple (LCM) of 176 and 87
The least common multiple (LCM) of 176 and 87 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 176 and 87?
First, calculate the GCD of 176 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 87 = 2 remainder 2 |
| 2 | 87 ÷ 2 = 43 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 138 | 22494 |
| 110 and 185 | 4070 |
| 170 and 120 | 2040 |
| 160 and 144 | 1440 |
| 102 and 133 | 13566 |