Least Common Multiple (LCM) of 128 and 118
The least common multiple (LCM) of 128 and 118 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 118?
First, calculate the GCD of 128 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 118 = 1 remainder 10 |
| 2 | 118 ÷ 10 = 11 remainder 8 |
| 3 | 10 ÷ 8 = 1 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 80 | 15120 |
| 152 and 94 | 7144 |
| 72 and 182 | 6552 |
| 180 and 44 | 1980 |
| 87 and 149 | 12963 |