Least Common Multiple (LCM) of 128 and 152
The least common multiple (LCM) of 128 and 152 is 2432.
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 128 and 152?
First, calculate the GCD of 128 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 152 = 0 remainder 128 |
| 2 | 152 ÷ 128 = 1 remainder 24 |
| 3 | 128 ÷ 24 = 5 remainder 8 |
| 4 | 24 ÷ 8 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 73 | 11242 |
| 169 and 68 | 11492 |
| 117 and 46 | 5382 |
| 185 and 61 | 11285 |
| 43 and 115 | 4945 |