Least Common Multiple (LCM) of 180 and 156
The least common multiple (LCM) of 180 and 156 is 2340.
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 156?
First, calculate the GCD of 180 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 156 = 1 remainder 24 |
| 2 | 156 ÷ 24 = 6 remainder 12 |
| 3 | 24 ÷ 12 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 73 | 10366 |
| 106 and 144 | 7632 |
| 45 and 105 | 315 |
| 42 and 133 | 798 |
| 119 and 190 | 22610 |