Least Common Multiple (LCM) of 125 and 184
The least common multiple (LCM) of 125 and 184 is 23000.
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 125 and 184?
First, calculate the GCD of 125 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 184 = 0 remainder 125 |
| 2 | 184 ÷ 125 = 1 remainder 59 |
| 3 | 125 ÷ 59 = 2 remainder 7 |
| 4 | 59 ÷ 7 = 8 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 143 | 2860 |
| 45 and 146 | 6570 |
| 107 and 17 | 1819 |
| 68 and 11 | 748 |
| 120 and 108 | 1080 |