Least Common Multiple (LCM) of 96 and 136
The least common multiple (LCM) of 96 and 136 is 1632.
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 136?
First, calculate the GCD of 96 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 96 ÷ 136 = 0 remainder 96 |
| 2 | 136 ÷ 96 = 1 remainder 40 |
| 3 | 96 ÷ 40 = 2 remainder 16 |
| 4 | 40 ÷ 16 = 2 remainder 8 |
| 5 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 77 | 10472 |
| 118 and 151 | 17818 |
| 120 and 28 | 840 |
| 187 and 167 | 31229 |
| 159 and 132 | 6996 |