Least Common Multiple (LCM) of 96 and 153
The least common multiple (LCM) of 96 and 153 is 4896.
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 153?
First, calculate the GCD of 96 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 96 ÷ 153 = 0 remainder 96 |
| 2 | 153 ÷ 96 = 1 remainder 57 |
| 3 | 96 ÷ 57 = 1 remainder 39 |
| 4 | 57 ÷ 39 = 1 remainder 18 |
| 5 | 39 ÷ 18 = 2 remainder 3 |
| 6 | 18 ÷ 3 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 163 | 16952 |
| 100 and 128 | 3200 |
| 117 and 54 | 702 |
| 92 and 144 | 3312 |
| 49 and 190 | 9310 |