Least Common Multiple (LCM) of 148 and 101
The least common multiple (LCM) of 148 and 101 is 14948.
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 101?
First, calculate the GCD of 148 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 101 = 1 remainder 47 |
| 2 | 101 ÷ 47 = 2 remainder 7 |
| 3 | 47 ÷ 7 = 6 remainder 5 |
| 4 | 7 ÷ 5 = 1 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 58 | 3132 |
| 151 and 119 | 17969 |
| 158 and 54 | 4266 |
| 31 and 142 | 4402 |
| 174 and 41 | 7134 |