Least Common Multiple (LCM) of 145 and 153
The least common multiple (LCM) of 145 and 153 is 22185.
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 153?
First, calculate the GCD of 145 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 153 = 0 remainder 145 |
| 2 | 153 ÷ 145 = 1 remainder 8 |
| 3 | 145 ÷ 8 = 18 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 65 | 1885 |
| 26 and 123 | 3198 |
| 128 and 163 | 20864 |
| 100 and 85 | 1700 |
| 165 and 112 | 18480 |