Least Common Multiple (LCM) of 132 and 174
The least common multiple (LCM) of 132 and 174 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 132 and 174?
First, calculate the GCD of 132 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 174 = 0 remainder 132 |
| 2 | 174 ÷ 132 = 1 remainder 42 |
| 3 | 132 ÷ 42 = 3 remainder 6 |
| 4 | 42 ÷ 6 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 143 | 2431 |
| 104 and 105 | 10920 |
| 185 and 154 | 28490 |
| 94 and 52 | 2444 |
| 35 and 152 | 5320 |