Least Common Multiple (LCM) of 148 and 106
The least common multiple (LCM) of 148 and 106 is 7844.
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 106?
First, calculate the GCD of 148 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 106 = 1 remainder 42 |
| 2 | 106 ÷ 42 = 2 remainder 22 |
| 3 | 42 ÷ 22 = 1 remainder 20 |
| 4 | 22 ÷ 20 = 1 remainder 2 |
| 5 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 140 | 4760 |
| 170 and 150 | 2550 |
| 78 and 63 | 1638 |
| 128 and 122 | 7808 |
| 153 and 111 | 5661 |