Least Common Multiple (LCM) of 128 and 59
The least common multiple (LCM) of 128 and 59 is 7552.
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 59?
First, calculate the GCD of 128 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 59 = 2 remainder 10 |
| 2 | 59 ÷ 10 = 5 remainder 9 |
| 3 | 10 ÷ 9 = 1 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 13 | 1495 |
| 184 and 64 | 1472 |
| 108 and 70 | 3780 |
| 54 and 169 | 9126 |
| 61 and 127 | 7747 |