Least Common Multiple (LCM) of 51 and 178
The least common multiple (LCM) of 51 and 178 is 9078.
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 178?
First, calculate the GCD of 51 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 51 ÷ 178 = 0 remainder 51 |
| 2 | 178 ÷ 51 = 3 remainder 25 |
| 3 | 51 ÷ 25 = 2 remainder 1 |
| 4 | 25 ÷ 1 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 132 | 528 |
| 92 and 40 | 920 |
| 185 and 106 | 19610 |
| 159 and 26 | 4134 |
| 91 and 50 | 4550 |