Least Common Multiple (LCM) of 102 and 148
The least common multiple (LCM) of 102 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 102 and 148?
First, calculate the GCD of 102 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 148 = 0 remainder 102 |
| 2 | 148 ÷ 102 = 1 remainder 46 |
| 3 | 102 ÷ 46 = 2 remainder 10 |
| 4 | 46 ÷ 10 = 4 remainder 6 |
| 5 | 10 ÷ 6 = 1 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 46 | 2300 |
| 187 and 146 | 27302 |
| 103 and 47 | 4841 |
| 132 and 135 | 5940 |
| 174 and 124 | 10788 |