Least Common Multiple (LCM) of 49 and 133
The least common multiple (LCM) of 49 and 133 is 931.
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 49 and 133?
First, calculate the GCD of 49 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 49 ÷ 133 = 0 remainder 49 |
| 2 | 133 ÷ 49 = 2 remainder 35 |
| 3 | 49 ÷ 35 = 1 remainder 14 |
| 4 | 35 ÷ 14 = 2 remainder 7 |
| 5 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 81 | 2025 |
| 136 and 138 | 9384 |
| 101 and 122 | 12322 |
| 198 and 150 | 4950 |
| 103 and 159 | 16377 |