Least Common Multiple (LCM) of 133 and 152
The least common multiple (LCM) of 133 and 152 is 1064.
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 152?
First, calculate the GCD of 133 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 152 = 0 remainder 133 |
| 2 | 152 ÷ 133 = 1 remainder 19 |
| 3 | 133 ÷ 19 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 68 and 107 | 7276 |
| 170 and 139 | 23630 |
| 170 and 165 | 5610 |
| 135 and 126 | 1890 |
| 169 and 170 | 28730 |