Least Common Multiple (LCM) of 145 and 147
The least common multiple (LCM) of 145 and 147 is 21315.
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 147?
First, calculate the GCD of 145 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 147 = 0 remainder 145 |
| 2 | 147 ÷ 145 = 1 remainder 2 |
| 3 | 145 ÷ 2 = 72 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 153 | 1530 |
| 114 and 61 | 6954 |
| 145 and 175 | 5075 |
| 190 and 110 | 2090 |
| 70 and 169 | 11830 |