Least Common Multiple (LCM) of 51 and 52
The least common multiple (LCM) of 51 and 52 is 2652.
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 52?
First, calculate the GCD of 51 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 51 ÷ 52 = 0 remainder 51 |
| 2 | 52 ÷ 51 = 1 remainder 1 |
| 3 | 51 ÷ 1 = 51 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 55 | 935 |
| 77 and 175 | 1925 |
| 137 and 86 | 11782 |
| 29 and 118 | 3422 |
| 172 and 144 | 6192 |