Least Common Multiple (LCM) of 147 and 139
The least common multiple (LCM) of 147 and 139 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 147 and 139?
First, calculate the GCD of 147 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 139 = 1 remainder 8 |
| 2 | 139 ÷ 8 = 17 remainder 3 |
| 3 | 8 ÷ 3 = 2 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 144 | 22320 |
| 199 and 74 | 14726 |
| 64 and 57 | 3648 |
| 167 and 24 | 4008 |
| 96 and 68 | 1632 |