Least Common Multiple (LCM) of 176 and 84
The least common multiple (LCM) of 176 and 84 is 3696.
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 84?
First, calculate the GCD of 176 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 84 = 2 remainder 8 |
| 2 | 84 ÷ 8 = 10 remainder 4 |
| 3 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 149 | 13410 |
| 146 and 149 | 21754 |
| 63 and 175 | 1575 |
| 164 and 87 | 14268 |
| 90 and 183 | 5490 |