Least Common Multiple (LCM) of 133 and 47
The least common multiple (LCM) of 133 and 47 is 6251.
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 133 and 47?
First, calculate the GCD of 133 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 47 = 2 remainder 39 |
| 2 | 47 ÷ 39 = 1 remainder 8 |
| 3 | 39 ÷ 8 = 4 remainder 7 |
| 4 | 8 ÷ 7 = 1 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 120 | 2760 |
| 179 and 93 | 16647 |
| 187 and 84 | 15708 |
| 157 and 88 | 13816 |
| 183 and 112 | 20496 |