Least Common Multiple (LCM) of 136 and 96
The least common multiple (LCM) of 136 and 96 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 136 and 96?
First, calculate the GCD of 136 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 96 = 1 remainder 40 |
| 2 | 96 ÷ 40 = 2 remainder 16 |
| 3 | 40 ÷ 16 = 2 remainder 8 |
| 4 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 80 | 14480 |
| 13 and 116 | 1508 |
| 166 and 158 | 13114 |
| 35 and 178 | 6230 |
| 40 and 34 | 680 |