Least Common Multiple (LCM) of 159 and 120
The least common multiple (LCM) of 159 and 120 is 6360.
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 120?
First, calculate the GCD of 159 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 120 = 1 remainder 39 |
| 2 | 120 ÷ 39 = 3 remainder 3 |
| 3 | 39 ÷ 3 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 132 | 4092 |
| 158 and 76 | 6004 |
| 42 and 56 | 168 |
| 135 and 110 | 2970 |
| 41 and 189 | 7749 |