Least Common Multiple (LCM) of 148 and 49
The least common multiple (LCM) of 148 and 49 is 7252.
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 49?
First, calculate the GCD of 148 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 49 = 3 remainder 1 |
| 2 | 49 ÷ 1 = 49 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 107 | 16585 |
| 145 and 169 | 24505 |
| 117 and 43 | 5031 |
| 13 and 151 | 1963 |
| 191 and 167 | 31897 |