Least Common Multiple (LCM) of 148 and 102
The least common multiple (LCM) of 148 and 102 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 148 and 102?
First, calculate the GCD of 148 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 102 = 1 remainder 46 |
| 2 | 102 ÷ 46 = 2 remainder 10 |
| 3 | 46 ÷ 10 = 4 remainder 6 |
| 4 | 10 ÷ 6 = 1 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 108 | 540 |
| 71 and 126 | 8946 |
| 76 and 160 | 3040 |
| 190 and 126 | 11970 |
| 81 and 95 | 7695 |