Least Common Multiple (LCM) of 96 and 156
The least common multiple (LCM) of 96 and 156 is 1248.
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 96 and 156?
First, calculate the GCD of 96 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 96 ÷ 156 = 0 remainder 96 |
| 2 | 156 ÷ 96 = 1 remainder 60 |
| 3 | 96 ÷ 60 = 1 remainder 36 |
| 4 | 60 ÷ 36 = 1 remainder 24 |
| 5 | 36 ÷ 24 = 1 remainder 12 |
| 6 | 24 ÷ 12 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 64 | 4416 |
| 15 and 171 | 855 |
| 105 and 58 | 6090 |
| 197 and 46 | 9062 |
| 134 and 128 | 8576 |