Least Common Multiple (LCM) of 84 and 174
The least common multiple (LCM) of 84 and 174 is 2436.
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 174?
First, calculate the GCD of 84 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 174 = 0 remainder 84 |
| 2 | 174 ÷ 84 = 2 remainder 6 |
| 3 | 84 ÷ 6 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 76 | 4788 |
| 190 and 26 | 2470 |
| 81 and 46 | 3726 |
| 121 and 197 | 23837 |
| 35 and 194 | 6790 |