Least Common Multiple (LCM) of 148 and 108
The least common multiple (LCM) of 148 and 108 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 108?
First, calculate the GCD of 148 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 108 = 1 remainder 40 |
| 2 | 108 ÷ 40 = 2 remainder 28 |
| 3 | 40 ÷ 28 = 1 remainder 12 |
| 4 | 28 ÷ 12 = 2 remainder 4 |
| 5 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 52 | 884 |
| 88 and 160 | 1760 |
| 109 and 73 | 7957 |
| 89 and 70 | 6230 |
| 19 and 11 | 209 |