Least Common Multiple (LCM) of 133 and 49
The least common multiple (LCM) of 133 and 49 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 133 and 49?
First, calculate the GCD of 133 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 49 = 2 remainder 35 |
| 2 | 49 ÷ 35 = 1 remainder 14 |
| 3 | 35 ÷ 14 = 2 remainder 7 |
| 4 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 170 | 13770 |
| 158 and 143 | 22594 |
| 137 and 58 | 7946 |
| 169 and 14 | 2366 |
| 162 and 114 | 3078 |