Least Common Multiple (LCM) of 33 and 51
The least common multiple (LCM) of 33 and 51 is 561.
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 33 and 51?
First, calculate the GCD of 33 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 33 ÷ 51 = 0 remainder 33 |
| 2 | 51 ÷ 33 = 1 remainder 18 |
| 3 | 33 ÷ 18 = 1 remainder 15 |
| 4 | 18 ÷ 15 = 1 remainder 3 |
| 5 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 91 and 151 | 13741 |
| 156 and 18 | 468 |
| 15 and 102 | 510 |
| 110 and 141 | 15510 |
| 153 and 163 | 24939 |