Least Common Multiple (LCM) of 180 and 124
The least common multiple (LCM) of 180 and 124 is 5580.
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 124?
First, calculate the GCD of 180 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 124 = 1 remainder 56 |
| 2 | 124 ÷ 56 = 2 remainder 12 |
| 3 | 56 ÷ 12 = 4 remainder 8 |
| 4 | 12 ÷ 8 = 1 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 57 | 8094 |
| 133 and 179 | 23807 |
| 27 and 67 | 1809 |
| 164 and 84 | 3444 |
| 25 and 108 | 2700 |