Least Common Multiple (LCM) of 118 and 128
The least common multiple (LCM) of 118 and 128 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 118 and 128?
First, calculate the GCD of 118 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 128 = 0 remainder 118 |
| 2 | 128 ÷ 118 = 1 remainder 10 |
| 3 | 118 ÷ 10 = 11 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 50 | 3550 |
| 59 and 130 | 7670 |
| 174 and 155 | 26970 |
| 100 and 17 | 1700 |
| 131 and 53 | 6943 |