Least Common Multiple (LCM) of 180 and 153
The least common multiple (LCM) of 180 and 153 is 3060.
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 153?
First, calculate the GCD of 180 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 153 = 1 remainder 27 |
| 2 | 153 ÷ 27 = 5 remainder 18 |
| 3 | 27 ÷ 18 = 1 remainder 9 |
| 4 | 18 ÷ 9 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 58 | 2320 |
| 99 and 58 | 5742 |
| 96 and 106 | 5088 |
| 190 and 80 | 1520 |
| 120 and 73 | 8760 |