Least Common Multiple (LCM) of 47 and 147
The least common multiple (LCM) of 47 and 147 is 6909.
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 47 and 147?
First, calculate the GCD of 47 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 47 ÷ 147 = 0 remainder 47 |
| 2 | 147 ÷ 47 = 3 remainder 6 |
| 3 | 47 ÷ 6 = 7 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 128 | 4736 |
| 130 and 152 | 9880 |
| 122 and 84 | 5124 |
| 111 and 102 | 3774 |
| 38 and 193 | 7334 |