Least Common Multiple (LCM) of 145 and 170
The least common multiple (LCM) of 145 and 170 is 4930.
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 170?
First, calculate the GCD of 145 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 170 = 0 remainder 145 |
| 2 | 170 ÷ 145 = 1 remainder 25 |
| 3 | 145 ÷ 25 = 5 remainder 20 |
| 4 | 25 ÷ 20 = 1 remainder 5 |
| 5 | 20 ÷ 5 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 120 | 3480 |
| 148 and 44 | 1628 |
| 176 and 135 | 23760 |
| 180 and 162 | 1620 |
| 87 and 93 | 2697 |