Least Common Multiple (LCM) of 49 and 148
The least common multiple (LCM) of 49 and 148 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 49 and 148?
First, calculate the GCD of 49 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 49 ÷ 148 = 0 remainder 49 |
| 2 | 148 ÷ 49 = 3 remainder 1 |
| 3 | 49 ÷ 1 = 49 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 76 | 2052 |
| 127 and 103 | 13081 |
| 31 and 107 | 3317 |
| 27 and 118 | 3186 |
| 22 and 35 | 770 |