Least Common Multiple (LCM) of 145 and 51
The least common multiple (LCM) of 145 and 51 is 7395.
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 145 and 51?
First, calculate the GCD of 145 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 51 = 2 remainder 43 |
| 2 | 51 ÷ 43 = 1 remainder 8 |
| 3 | 43 ÷ 8 = 5 remainder 3 |
| 4 | 8 ÷ 3 = 2 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 123 | 7749 |
| 158 and 34 | 2686 |
| 165 and 192 | 10560 |
| 28 and 92 | 644 |
| 153 and 92 | 14076 |