Least Common Multiple (LCM) of 133 and 35
The least common multiple (LCM) of 133 and 35 is 665.
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 35?
First, calculate the GCD of 133 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 35 = 3 remainder 28 |
| 2 | 35 ÷ 28 = 1 remainder 7 |
| 3 | 28 ÷ 7 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 100 | 2300 |
| 88 and 160 | 1760 |
| 49 and 121 | 5929 |
| 112 and 72 | 1008 |
| 48 and 194 | 4656 |