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 |
|---|---|
| 171 and 45 | 855 |
| 30 and 194 | 2910 |
| 157 and 95 | 14915 |
| 170 and 59 | 10030 |
| 199 and 70 | 13930 |