Least Common Multiple (LCM) of 101 and 148
The least common multiple (LCM) of 101 and 148 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 101 and 148?
First, calculate the GCD of 101 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 148 = 0 remainder 101 |
| 2 | 148 ÷ 101 = 1 remainder 47 |
| 3 | 101 ÷ 47 = 2 remainder 7 |
| 4 | 47 ÷ 7 = 6 remainder 5 |
| 5 | 7 ÷ 5 = 1 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 91 | 2184 |
| 168 and 168 | 168 |
| 148 and 37 | 148 |
| 179 and 140 | 25060 |
| 75 and 87 | 2175 |