Least Common Multiple (LCM) of 84 and 176
The least common multiple (LCM) of 84 and 176 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 84 and 176?
First, calculate the GCD of 84 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 176 = 0 remainder 84 |
| 2 | 176 ÷ 84 = 2 remainder 8 |
| 3 | 84 ÷ 8 = 10 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 144 | 17136 |
| 167 and 26 | 4342 |
| 171 and 39 | 2223 |
| 113 and 50 | 5650 |
| 103 and 43 | 4429 |