Least Common Multiple (LCM) of 148 and 153
The least common multiple (LCM) of 148 and 153 is 22644.
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 153?
First, calculate the GCD of 148 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 153 = 0 remainder 148 |
| 2 | 153 ÷ 148 = 1 remainder 5 |
| 3 | 148 ÷ 5 = 29 remainder 3 |
| 4 | 5 ÷ 3 = 1 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 106 | 10176 |
| 77 and 110 | 770 |
| 144 and 142 | 10224 |
| 167 and 81 | 13527 |
| 180 and 33 | 1980 |