Least Common Multiple (LCM) of 148 and 123
The least common multiple (LCM) of 148 and 123 is 18204.
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 123?
First, calculate the GCD of 148 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 123 = 1 remainder 25 |
| 2 | 123 ÷ 25 = 4 remainder 23 |
| 3 | 25 ÷ 23 = 1 remainder 2 |
| 4 | 23 ÷ 2 = 11 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 53 | 6890 |
| 120 and 183 | 7320 |
| 90 and 178 | 8010 |
| 63 and 179 | 11277 |
| 45 and 74 | 3330 |