Least Common Multiple (LCM) of 57 and 148
The least common multiple (LCM) of 57 and 148 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 57 and 148?
First, calculate the GCD of 57 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 57 ÷ 148 = 0 remainder 57 |
| 2 | 148 ÷ 57 = 2 remainder 34 |
| 3 | 57 ÷ 34 = 1 remainder 23 |
| 4 | 34 ÷ 23 = 1 remainder 11 |
| 5 | 23 ÷ 11 = 2 remainder 1 |
| 6 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 174 | 34626 |
| 48 and 67 | 3216 |
| 140 and 45 | 1260 |
| 173 and 12 | 2076 |
| 118 and 49 | 5782 |