Least Common Multiple (LCM) of 145 and 186
The least common multiple (LCM) of 145 and 186 is 26970.
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 186?
First, calculate the GCD of 145 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 186 = 0 remainder 145 |
| 2 | 186 ÷ 145 = 1 remainder 41 |
| 3 | 145 ÷ 41 = 3 remainder 22 |
| 4 | 41 ÷ 22 = 1 remainder 19 |
| 5 | 22 ÷ 19 = 1 remainder 3 |
| 6 | 19 ÷ 3 = 6 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 103 | 3708 |
| 173 and 191 | 33043 |
| 20 and 184 | 920 |
| 100 and 140 | 700 |
| 48 and 164 | 1968 |