Least Common Multiple (LCM) of 153 and 148
The least common multiple (LCM) of 153 and 148 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 153 and 148?
First, calculate the GCD of 153 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 148 = 1 remainder 5 |
| 2 | 148 ÷ 5 = 29 remainder 3 |
| 3 | 5 ÷ 3 = 1 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 42 | 126 |
| 90 and 143 | 12870 |
| 154 and 200 | 15400 |
| 159 and 168 | 8904 |
| 75 and 143 | 10725 |