Least Common Multiple (LCM) of 112 and 119
The least common multiple (LCM) of 112 and 119 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 112 and 119?
First, calculate the GCD of 112 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 112 ÷ 119 = 0 remainder 112 |
| 2 | 119 ÷ 112 = 1 remainder 7 |
| 3 | 112 ÷ 7 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 50 | 3650 |
| 153 and 129 | 6579 |
| 61 and 188 | 11468 |
| 126 and 115 | 14490 |
| 15 and 57 | 285 |