Least Common Multiple (LCM) of 119 and 141
The least common multiple (LCM) of 119 and 141 is 16779.
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 141?
First, calculate the GCD of 119 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 141 = 0 remainder 119 |
| 2 | 141 ÷ 119 = 1 remainder 22 |
| 3 | 119 ÷ 22 = 5 remainder 9 |
| 4 | 22 ÷ 9 = 2 remainder 4 |
| 5 | 9 ÷ 4 = 2 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 195 | 7020 |
| 196 and 66 | 6468 |
| 52 and 53 | 2756 |
| 194 and 191 | 37054 |
| 89 and 25 | 2225 |