Least Common Multiple (LCM) of 47 and 151
The least common multiple (LCM) of 47 and 151 is 7097.
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 151?
First, calculate the GCD of 47 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 47 ÷ 151 = 0 remainder 47 |
| 2 | 151 ÷ 47 = 3 remainder 10 |
| 3 | 47 ÷ 10 = 4 remainder 7 |
| 4 | 10 ÷ 7 = 1 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 188 | 25004 |
| 114 and 47 | 5358 |
| 186 and 35 | 6510 |
| 42 and 25 | 1050 |
| 181 and 16 | 2896 |