Least Common Multiple (LCM) of 127 and 184
The least common multiple (LCM) of 127 and 184 is 23368.
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 127 and 184?
First, calculate the GCD of 127 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 184 = 0 remainder 127 |
| 2 | 184 ÷ 127 = 1 remainder 57 |
| 3 | 127 ÷ 57 = 2 remainder 13 |
| 4 | 57 ÷ 13 = 4 remainder 5 |
| 5 | 13 ÷ 5 = 2 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 124 | 868 |
| 24 and 191 | 4584 |
| 33 and 20 | 660 |
| 114 and 49 | 5586 |
| 119 and 175 | 2975 |