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 |
|---|---|
| 110 and 173 | 19030 |
| 95 and 37 | 3515 |
| 80 and 180 | 720 |
| 166 and 69 | 11454 |
| 149 and 53 | 7897 |