Least Common Multiple (LCM) of 39 and 174
The least common multiple (LCM) of 39 and 174 is 2262.
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 39 and 174?
First, calculate the GCD of 39 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 174 = 0 remainder 39 |
| 2 | 174 ÷ 39 = 4 remainder 18 |
| 3 | 39 ÷ 18 = 2 remainder 3 |
| 4 | 18 ÷ 3 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 67 | 1206 |
| 85 and 197 | 16745 |
| 155 and 74 | 11470 |
| 133 and 192 | 25536 |
| 120 and 59 | 7080 |