Least Common Multiple (LCM) of 51 and 148
The least common multiple (LCM) of 51 and 148 is 7548.
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 51 and 148?
First, calculate the GCD of 51 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 51 ÷ 148 = 0 remainder 51 |
| 2 | 148 ÷ 51 = 2 remainder 46 |
| 3 | 51 ÷ 46 = 1 remainder 5 |
| 4 | 46 ÷ 5 = 9 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 63 and 33 | 693 |
| 147 and 100 | 14700 |
| 82 and 133 | 10906 |
| 80 and 195 | 3120 |
| 183 and 135 | 8235 |