Least Common Multiple (LCM) of 182 and 174
The least common multiple (LCM) of 182 and 174 is 15834.
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 182 and 174?
First, calculate the GCD of 182 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 174 = 1 remainder 8 |
| 2 | 174 ÷ 8 = 21 remainder 6 |
| 3 | 8 ÷ 6 = 1 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 84 | 5124 |
| 196 and 200 | 9800 |
| 105 and 39 | 1365 |
| 95 and 105 | 1995 |
| 102 and 170 | 510 |