Least Common Multiple (LCM) of 145 and 156
The least common multiple (LCM) of 145 and 156 is 22620.
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 156?
First, calculate the GCD of 145 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 156 = 0 remainder 145 |
| 2 | 156 ÷ 145 = 1 remainder 11 |
| 3 | 145 ÷ 11 = 13 remainder 2 |
| 4 | 11 ÷ 2 = 5 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 65 | 65 |
| 87 and 55 | 4785 |
| 148 and 176 | 6512 |
| 195 and 163 | 31785 |
| 144 and 129 | 6192 |