Least Common Multiple (LCM) of 51 and 30
The least common multiple (LCM) of 51 and 30 is 510.
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 51 and 30?
First, calculate the GCD of 51 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 51 ÷ 30 = 1 remainder 21 |
| 2 | 30 ÷ 21 = 1 remainder 9 |
| 3 | 21 ÷ 9 = 2 remainder 3 |
| 4 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 162 | 5184 |
| 22 and 133 | 2926 |
| 62 and 156 | 4836 |
| 169 and 29 | 4901 |
| 200 and 184 | 4600 |