Least Common Multiple (LCM) of 153 and 133
The least common multiple (LCM) of 153 and 133 is 20349.
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 153 and 133?
First, calculate the GCD of 153 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 133 = 1 remainder 20 |
| 2 | 133 ÷ 20 = 6 remainder 13 |
| 3 | 20 ÷ 13 = 1 remainder 7 |
| 4 | 13 ÷ 7 = 1 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 196 | 10388 |
| 134 and 167 | 22378 |
| 157 and 81 | 12717 |
| 145 and 33 | 4785 |
| 40 and 165 | 1320 |