Least Common Multiple (LCM) of 119 and 116
The least common multiple (LCM) of 119 and 116 is 13804.
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 116?
First, calculate the GCD of 119 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 116 = 1 remainder 3 |
| 2 | 116 ÷ 3 = 38 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 123 | 14268 |
| 72 and 145 | 10440 |
| 96 and 164 | 3936 |
| 142 and 36 | 2556 |
| 178 and 48 | 4272 |