Least Common Multiple (LCM) of 119 and 112
The least common multiple (LCM) of 119 and 112 is 1904.
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 112?
First, calculate the GCD of 119 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 112 = 1 remainder 7 |
| 2 | 112 ÷ 7 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 34 | 3264 |
| 198 and 87 | 5742 |
| 27 and 196 | 5292 |
| 109 and 130 | 14170 |
| 118 and 78 | 4602 |