Least Common Multiple (LCM) of 180 and 60
The least common multiple (LCM) of 180 and 60 is 180.
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 180 and 60?
First, calculate the GCD of 180 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 60 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 180 | 4140 |
| 145 and 47 | 6815 |
| 183 and 198 | 12078 |
| 159 and 164 | 26076 |
| 80 and 98 | 3920 |