Least Common Multiple (LCM) of 145 and 46
The least common multiple (LCM) of 145 and 46 is 6670.
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 46?
First, calculate the GCD of 145 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 46 = 3 remainder 7 |
| 2 | 46 ÷ 7 = 6 remainder 4 |
| 3 | 7 ÷ 4 = 1 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 87 | 13137 |
| 111 and 25 | 2775 |
| 105 and 75 | 525 |
| 196 and 103 | 20188 |
| 89 and 69 | 6141 |