Least Common Multiple (LCM) of 133 and 98
The least common multiple (LCM) of 133 and 98 is 1862.
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 98?
First, calculate the GCD of 133 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 98 = 1 remainder 35 |
| 2 | 98 ÷ 35 = 2 remainder 28 |
| 3 | 35 ÷ 28 = 1 remainder 7 |
| 4 | 28 ÷ 7 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 128 | 3968 |
| 19 and 159 | 3021 |
| 98 and 161 | 2254 |
| 107 and 78 | 8346 |
| 113 and 113 | 113 |