Least Common Multiple (LCM) of 120 and 159
The least common multiple (LCM) of 120 and 159 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 120 and 159?
First, calculate the GCD of 120 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 159 = 0 remainder 120 |
| 2 | 159 ÷ 120 = 1 remainder 39 |
| 3 | 120 ÷ 39 = 3 remainder 3 |
| 4 | 39 ÷ 3 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 120 | 840 |
| 97 and 181 | 17557 |
| 60 and 86 | 2580 |
| 160 and 95 | 3040 |
| 118 and 197 | 23246 |