Least Common Multiple (LCM) of 174 and 139
The least common multiple (LCM) of 174 and 139 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 174 and 139?
First, calculate the GCD of 174 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 139 = 1 remainder 35 |
| 2 | 139 ÷ 35 = 3 remainder 34 |
| 3 | 35 ÷ 34 = 1 remainder 1 |
| 4 | 34 ÷ 1 = 34 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 165 | 2805 |
| 142 and 10 | 710 |
| 134 and 75 | 10050 |
| 91 and 30 | 2730 |
| 159 and 190 | 30210 |