Least Common Multiple (LCM) of 139 and 147
The least common multiple (LCM) of 139 and 147 is 20433.
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 147?
First, calculate the GCD of 139 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 147 = 0 remainder 139 |
| 2 | 147 ÷ 139 = 1 remainder 8 |
| 3 | 139 ÷ 8 = 17 remainder 3 |
| 4 | 8 ÷ 3 = 2 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 51 | 969 |
| 89 and 120 | 10680 |
| 142 and 39 | 5538 |
| 140 and 137 | 19180 |
| 167 and 189 | 31563 |