Least Common Multiple (LCM) of 139 and 174
The least common multiple (LCM) of 139 and 174 is 24186.
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 174?
First, calculate the GCD of 139 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 174 = 0 remainder 139 |
| 2 | 174 ÷ 139 = 1 remainder 35 |
| 3 | 139 ÷ 35 = 3 remainder 34 |
| 4 | 35 ÷ 34 = 1 remainder 1 |
| 5 | 34 ÷ 1 = 34 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 149 | 26820 |
| 183 and 54 | 3294 |
| 155 and 116 | 17980 |
| 160 and 188 | 7520 |
| 85 and 139 | 11815 |