Least Common Multiple (LCM) of 128 and 119
The least common multiple (LCM) of 128 and 119 is 15232.
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 119?
First, calculate the GCD of 128 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 119 = 1 remainder 9 |
| 2 | 119 ÷ 9 = 13 remainder 2 |
| 3 | 9 ÷ 2 = 4 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 138 | 21666 |
| 94 and 124 | 5828 |
| 161 and 163 | 26243 |
| 170 and 165 | 5610 |
| 176 and 61 | 10736 |