Least Common Multiple (LCM) of 156 and 192
The least common multiple (LCM) of 156 and 192 is 2496.
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 156 and 192?
First, calculate the GCD of 156 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 192 = 0 remainder 156 |
| 2 | 192 ÷ 156 = 1 remainder 36 |
| 3 | 156 ÷ 36 = 4 remainder 12 |
| 4 | 36 ÷ 12 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 16 and 24 | 48 |
| 116 and 97 | 11252 |
| 18 and 143 | 2574 |
| 123 and 199 | 24477 |
| 123 and 38 | 4674 |