Least Common Multiple (LCM) of 124 and 180
The least common multiple (LCM) of 124 and 180 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 124 and 180?
First, calculate the GCD of 124 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 180 = 0 remainder 124 |
| 2 | 180 ÷ 124 = 1 remainder 56 |
| 3 | 124 ÷ 56 = 2 remainder 12 |
| 4 | 56 ÷ 12 = 4 remainder 8 |
| 5 | 12 ÷ 8 = 1 remainder 4 |
| 6 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 65 | 1170 |
| 153 and 105 | 5355 |
| 144 and 103 | 14832 |
| 127 and 168 | 21336 |
| 28 and 129 | 3612 |