Least Common Multiple (LCM) of 147 and 103
The least common multiple (LCM) of 147 and 103 is 15141.
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 103?
First, calculate the GCD of 147 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 103 = 1 remainder 44 |
| 2 | 103 ÷ 44 = 2 remainder 15 |
| 3 | 44 ÷ 15 = 2 remainder 14 |
| 4 | 15 ÷ 14 = 1 remainder 1 |
| 5 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 172 | 1204 |
| 53 and 154 | 8162 |
| 182 and 45 | 8190 |
| 88 and 30 | 1320 |
| 197 and 125 | 24625 |