Least Common Multiple (LCM) of 139 and 149
The least common multiple (LCM) of 139 and 149 is 20711.
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 149?
First, calculate the GCD of 139 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 149 = 0 remainder 139 |
| 2 | 149 ÷ 139 = 1 remainder 10 |
| 3 | 139 ÷ 10 = 13 remainder 9 |
| 4 | 10 ÷ 9 = 1 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 18 | 234 |
| 138 and 15 | 690 |
| 47 and 155 | 7285 |
| 187 and 104 | 19448 |
| 123 and 177 | 7257 |