Least Common Multiple (LCM) of 51 and 22
The least common multiple (LCM) of 51 and 22 is 1122.
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 22?
First, calculate the GCD of 51 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 51 ÷ 22 = 2 remainder 7 |
| 2 | 22 ÷ 7 = 3 remainder 1 |
| 3 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 180 | 3420 |
| 197 and 49 | 9653 |
| 177 and 28 | 4956 |
| 23 and 109 | 2507 |
| 129 and 75 | 3225 |