Least Common Multiple (LCM) of 119 and 88
The least common multiple (LCM) of 119 and 88 is 10472.
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 119 and 88?
First, calculate the GCD of 119 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 88 = 1 remainder 31 |
| 2 | 88 ÷ 31 = 2 remainder 26 |
| 3 | 31 ÷ 26 = 1 remainder 5 |
| 4 | 26 ÷ 5 = 5 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 133 | 3591 |
| 30 and 158 | 2370 |
| 135 and 10 | 270 |
| 200 and 69 | 13800 |
| 156 and 88 | 3432 |