Least Common Multiple (LCM) of 148 and 174
The least common multiple (LCM) of 148 and 174 is 12876.
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 148 and 174?
First, calculate the GCD of 148 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 174 = 0 remainder 148 |
| 2 | 174 ÷ 148 = 1 remainder 26 |
| 3 | 148 ÷ 26 = 5 remainder 18 |
| 4 | 26 ÷ 18 = 1 remainder 8 |
| 5 | 18 ÷ 8 = 2 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 45 | 5085 |
| 91 and 62 | 5642 |
| 26 and 146 | 1898 |
| 111 and 71 | 7881 |
| 173 and 44 | 7612 |