Least Common Multiple (LCM) of 148 and 54
The least common multiple (LCM) of 148 and 54 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 54?
First, calculate the GCD of 148 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 54 = 2 remainder 40 |
| 2 | 54 ÷ 40 = 1 remainder 14 |
| 3 | 40 ÷ 14 = 2 remainder 12 |
| 4 | 14 ÷ 12 = 1 remainder 2 |
| 5 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 55 | 8030 |
| 60 and 148 | 2220 |
| 90 and 134 | 6030 |
| 26 and 105 | 2730 |
| 90 and 104 | 4680 |