Least Common Multiple (LCM) of 168 and 145
The least common multiple (LCM) of 168 and 145 is 24360.
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 168 and 145?
First, calculate the GCD of 168 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 145 = 1 remainder 23 |
| 2 | 145 ÷ 23 = 6 remainder 7 |
| 3 | 23 ÷ 7 = 3 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 74 | 1998 |
| 130 and 37 | 4810 |
| 127 and 112 | 14224 |
| 156 and 199 | 31044 |
| 143 and 107 | 15301 |