Least Common Multiple (LCM) of 139 and 141
The least common multiple (LCM) of 139 and 141 is 19599.
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 141?
First, calculate the GCD of 139 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 141 = 0 remainder 139 |
| 2 | 141 ÷ 139 = 1 remainder 2 |
| 3 | 139 ÷ 2 = 69 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 66 | 7854 |
| 187 and 135 | 25245 |
| 174 and 165 | 9570 |
| 138 and 177 | 8142 |
| 142 and 84 | 5964 |