Least Common Multiple (LCM) of 51 and 143
The least common multiple (LCM) of 51 and 143 is 7293.
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 143?
First, calculate the GCD of 51 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 51 ÷ 143 = 0 remainder 51 |
| 2 | 143 ÷ 51 = 2 remainder 41 |
| 3 | 51 ÷ 41 = 1 remainder 10 |
| 4 | 41 ÷ 10 = 4 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 115 | 20585 |
| 49 and 139 | 6811 |
| 135 and 161 | 21735 |
| 145 and 112 | 16240 |
| 16 and 22 | 176 |