Least Common Multiple (LCM) of 174 and 83
The least common multiple (LCM) of 174 and 83 is 14442.
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 83?
First, calculate the GCD of 174 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 83 = 2 remainder 8 |
| 2 | 83 ÷ 8 = 10 remainder 3 |
| 3 | 8 ÷ 3 = 2 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 174 | 23838 |
| 162 and 131 | 21222 |
| 186 and 97 | 18042 |
| 79 and 132 | 10428 |
| 151 and 33 | 4983 |