Least Common Multiple (LCM) of 148 and 57
The least common multiple (LCM) of 148 and 57 is 8436.
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 57?
First, calculate the GCD of 148 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 57 = 2 remainder 34 |
| 2 | 57 ÷ 34 = 1 remainder 23 |
| 3 | 34 ÷ 23 = 1 remainder 11 |
| 4 | 23 ÷ 11 = 2 remainder 1 |
| 5 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 38 | 342 |
| 49 and 103 | 5047 |
| 72 and 49 | 3528 |
| 174 and 22 | 1914 |
| 150 and 160 | 2400 |