Least Common Multiple (LCM) of 159 and 119
The least common multiple (LCM) of 159 and 119 is 18921.
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 159 and 119?
First, calculate the GCD of 159 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 119 = 1 remainder 40 |
| 2 | 119 ÷ 40 = 2 remainder 39 |
| 3 | 40 ÷ 39 = 1 remainder 1 |
| 4 | 39 ÷ 1 = 39 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 60 and 68 | 1020 |
| 107 and 95 | 10165 |
| 16 and 177 | 2832 |
| 153 and 181 | 27693 |
| 70 and 66 | 2310 |