Least Common Multiple (LCM) of 168 and 153
The least common multiple (LCM) of 168 and 153 is 8568.
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 153?
First, calculate the GCD of 168 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 153 = 1 remainder 15 |
| 2 | 153 ÷ 15 = 10 remainder 3 |
| 3 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 178 | 9434 |
| 126 and 169 | 21294 |
| 195 and 159 | 10335 |
| 178 and 138 | 12282 |
| 16 and 110 | 880 |