Least Common Multiple (LCM) of 119 and 111
The least common multiple (LCM) of 119 and 111 is 13209.
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 111?
First, calculate the GCD of 119 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 111 = 1 remainder 8 |
| 2 | 111 ÷ 8 = 13 remainder 7 |
| 3 | 8 ÷ 7 = 1 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 158 | 18802 |
| 185 and 43 | 7955 |
| 177 and 143 | 25311 |
| 66 and 167 | 11022 |
| 125 and 27 | 3375 |