Least Common Multiple (LCM) of 174 and 141
The least common multiple (LCM) of 174 and 141 is 8178.
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 141?
First, calculate the GCD of 174 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 141 = 1 remainder 33 |
| 2 | 141 ÷ 33 = 4 remainder 9 |
| 3 | 33 ÷ 9 = 3 remainder 6 |
| 4 | 9 ÷ 6 = 1 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 121 | 24079 |
| 80 and 129 | 10320 |
| 123 and 158 | 19434 |
| 17 and 104 | 1768 |
| 153 and 133 | 20349 |