Least Common Multiple (LCM) of 76 and 174
The least common multiple (LCM) of 76 and 174 is 6612.
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 76 and 174?
First, calculate the GCD of 76 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 76 ÷ 174 = 0 remainder 76 |
| 2 | 174 ÷ 76 = 2 remainder 22 |
| 3 | 76 ÷ 22 = 3 remainder 10 |
| 4 | 22 ÷ 10 = 2 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 162 | 29970 |
| 125 and 165 | 4125 |
| 62 and 189 | 11718 |
| 11 and 130 | 1430 |
| 181 and 65 | 11765 |