Least Common Multiple (LCM) of 178 and 139
The least common multiple (LCM) of 178 and 139 is 24742.
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 178 and 139?
First, calculate the GCD of 178 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 139 = 1 remainder 39 |
| 2 | 139 ÷ 39 = 3 remainder 22 |
| 3 | 39 ÷ 22 = 1 remainder 17 |
| 4 | 22 ÷ 17 = 1 remainder 5 |
| 5 | 17 ÷ 5 = 3 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 129 | 23349 |
| 134 and 151 | 20234 |
| 18 and 171 | 342 |
| 110 and 128 | 7040 |
| 133 and 137 | 18221 |