Least Common Multiple (LCM) of 51 and 76
The least common multiple (LCM) of 51 and 76 is 3876.
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 76?
First, calculate the GCD of 51 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 51 ÷ 76 = 0 remainder 51 |
| 2 | 76 ÷ 51 = 1 remainder 25 |
| 3 | 51 ÷ 25 = 2 remainder 1 |
| 4 | 25 ÷ 1 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 114 | 13794 |
| 87 and 24 | 696 |
| 32 and 52 | 416 |
| 105 and 197 | 20685 |
| 163 and 107 | 17441 |