
Least Common Multiple (LCM) of 180 and 12
The least common multiple (LCM) of 180 and 12 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 12?
First, calculate the GCD of 180 and 12 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 180 ÷ 12 = 15 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
200 and 135 | 5400 |
50 and 200 | 200 |
183 and 10 | 1830 |
84 and 52 | 1092 |
86 and 29 | 2494 |