Least Common Multiple (LCM) of 174 and 127
The least common multiple (LCM) of 174 and 127 is 22098.
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 174 and 127?
First, calculate the GCD of 174 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 127 = 1 remainder 47 |
| 2 | 127 ÷ 47 = 2 remainder 33 |
| 3 | 47 ÷ 33 = 1 remainder 14 |
| 4 | 33 ÷ 14 = 2 remainder 5 |
| 5 | 14 ÷ 5 = 2 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 78 | 6006 |
| 48 and 126 | 1008 |
| 195 and 54 | 3510 |
| 91 and 24 | 2184 |
| 32 and 138 | 2208 |