Least Common Multiple (LCM) of 174 and 132
The least common multiple (LCM) of 174 and 132 is 3828.
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 132?
First, calculate the GCD of 174 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 132 = 1 remainder 42 |
| 2 | 132 ÷ 42 = 3 remainder 6 |
| 3 | 42 ÷ 6 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 137 | 26167 |
| 132 and 149 | 19668 |
| 60 and 10 | 60 |
| 55 and 39 | 2145 |
| 68 and 199 | 13532 |