Least Common Multiple (LCM) of 148 and 27
The least common multiple (LCM) of 148 and 27 is 3996.
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 27?
First, calculate the GCD of 148 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 27 = 5 remainder 13 |
| 2 | 27 ÷ 13 = 2 remainder 1 |
| 3 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 31 | 3937 |
| 49 and 56 | 392 |
| 72 and 57 | 1368 |
| 29 and 18 | 522 |
| 198 and 64 | 6336 |