Least Common Multiple (LCM) of 153 and 128
The least common multiple (LCM) of 153 and 128 is 19584.
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 128?
First, calculate the GCD of 153 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 128 = 1 remainder 25 |
| 2 | 128 ÷ 25 = 5 remainder 3 |
| 3 | 25 ÷ 3 = 8 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 32 | 3360 |
| 175 and 17 | 2975 |
| 38 and 166 | 3154 |
| 198 and 143 | 2574 |
| 126 and 92 | 5796 |