Least Common Multiple (LCM) of 181 and 174
The least common multiple (LCM) of 181 and 174 is 31494.
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 181 and 174?
First, calculate the GCD of 181 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 174 = 1 remainder 7 |
| 2 | 174 ÷ 7 = 24 remainder 6 |
| 3 | 7 ÷ 6 = 1 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 117 | 5382 |
| 145 and 19 | 2755 |
| 181 and 87 | 15747 |
| 33 and 167 | 5511 |
| 112 and 11 | 1232 |