Least Common Multiple (LCM) of 168 and 190
The least common multiple (LCM) of 168 and 190 is 15960.
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 190?
First, calculate the GCD of 168 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 190 = 0 remainder 168 |
| 2 | 190 ÷ 168 = 1 remainder 22 |
| 3 | 168 ÷ 22 = 7 remainder 14 |
| 4 | 22 ÷ 14 = 1 remainder 8 |
| 5 | 14 ÷ 8 = 1 remainder 6 |
| 6 | 8 ÷ 6 = 1 remainder 2 |
| 7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 47 and 116 | 5452 |
| 113 and 157 | 17741 |
| 80 and 73 | 5840 |
| 47 and 95 | 4465 |
| 110 and 23 | 2530 |