Least Common Multiple (LCM) of 174 and 76
The least common multiple (LCM) of 174 and 76 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 174 and 76?
First, calculate the GCD of 174 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 76 = 2 remainder 22 |
| 2 | 76 ÷ 22 = 3 remainder 10 |
| 3 | 22 ÷ 10 = 2 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 145 | 2320 |
| 175 and 55 | 1925 |
| 200 and 142 | 14200 |
| 193 and 31 | 5983 |
| 123 and 156 | 6396 |