Least Common Multiple (LCM) of 139 and 176
The least common multiple (LCM) of 139 and 176 is 24464.
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 176?
First, calculate the GCD of 139 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 176 = 0 remainder 139 |
| 2 | 176 ÷ 139 = 1 remainder 37 |
| 3 | 139 ÷ 37 = 3 remainder 28 |
| 4 | 37 ÷ 28 = 1 remainder 9 |
| 5 | 28 ÷ 9 = 3 remainder 1 |
| 6 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 165 | 2640 |
| 165 and 145 | 4785 |
| 140 and 75 | 2100 |
| 55 and 198 | 990 |
| 182 and 41 | 7462 |