Least Common Multiple (LCM) of 145 and 60
The least common multiple (LCM) of 145 and 60 is 1740.
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 60?
First, calculate the GCD of 145 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 60 = 2 remainder 25 |
| 2 | 60 ÷ 25 = 2 remainder 10 |
| 3 | 25 ÷ 10 = 2 remainder 5 |
| 4 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 78 | 2730 |
| 14 and 43 | 602 |
| 152 and 38 | 152 |
| 50 and 182 | 4550 |
| 81 and 175 | 14175 |