Least Common Multiple (LCM) of 153 and 192
The least common multiple (LCM) of 153 and 192 is 9792.
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 153 and 192?
First, calculate the GCD of 153 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 192 = 0 remainder 153 |
| 2 | 192 ÷ 153 = 1 remainder 39 |
| 3 | 153 ÷ 39 = 3 remainder 36 |
| 4 | 39 ÷ 36 = 1 remainder 3 |
| 5 | 36 ÷ 3 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 103 | 17613 |
| 83 and 95 | 7885 |
| 169 and 147 | 24843 |
| 77 and 75 | 5775 |
| 150 and 161 | 24150 |