Least Common Multiple (LCM) of 139 and 179
The least common multiple (LCM) of 139 and 179 is 24881.
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 179?
First, calculate the GCD of 139 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 179 = 0 remainder 139 |
| 2 | 179 ÷ 139 = 1 remainder 40 |
| 3 | 139 ÷ 40 = 3 remainder 19 |
| 4 | 40 ÷ 19 = 2 remainder 2 |
| 5 | 19 ÷ 2 = 9 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 106 | 16642 |
| 120 and 98 | 5880 |
| 197 and 145 | 28565 |
| 35 and 109 | 3815 |
| 28 and 117 | 3276 |