Least Common Multiple (LCM) of 141 and 119
The least common multiple (LCM) of 141 and 119 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 141 and 119?
First, calculate the GCD of 141 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 119 = 1 remainder 22 |
| 2 | 119 ÷ 22 = 5 remainder 9 |
| 3 | 22 ÷ 9 = 2 remainder 4 |
| 4 | 9 ÷ 4 = 2 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 20 | 420 |
| 189 and 15 | 945 |
| 131 and 165 | 21615 |
| 124 and 11 | 1364 |
| 161 and 141 | 22701 |