Least Common Multiple (LCM) of 139 and 102
The least common multiple (LCM) of 139 and 102 is 14178.
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 102?
First, calculate the GCD of 139 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 102 = 1 remainder 37 |
| 2 | 102 ÷ 37 = 2 remainder 28 |
| 3 | 37 ÷ 28 = 1 remainder 9 |
| 4 | 28 ÷ 9 = 3 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 124 | 4216 |
| 57 and 34 | 1938 |
| 116 and 124 | 3596 |
| 61 and 141 | 8601 |
| 171 and 179 | 30609 |