Least Common Multiple (LCM) of 38 and 147
The least common multiple (LCM) of 38 and 147 is 5586.
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 38 and 147?
First, calculate the GCD of 38 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 38 ÷ 147 = 0 remainder 38 |
| 2 | 147 ÷ 38 = 3 remainder 33 |
| 3 | 38 ÷ 33 = 1 remainder 5 |
| 4 | 33 ÷ 5 = 6 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 164 | 30340 |
| 67 and 130 | 8710 |
| 123 and 19 | 2337 |
| 52 and 23 | 1196 |
| 141 and 21 | 987 |