Least Common Multiple (LCM) of 139 and 184
The least common multiple (LCM) of 139 and 184 is 25576.
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 139 and 184?
First, calculate the GCD of 139 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 184 = 0 remainder 139 |
| 2 | 184 ÷ 139 = 1 remainder 45 |
| 3 | 139 ÷ 45 = 3 remainder 4 |
| 4 | 45 ÷ 4 = 11 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 30 | 3030 |
| 106 and 132 | 6996 |
| 141 and 87 | 4089 |
| 189 and 145 | 27405 |
| 64 and 72 | 576 |