Least Common Multiple (LCM) of 153 and 96
The least common multiple (LCM) of 153 and 96 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 153 and 96?
First, calculate the GCD of 153 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 96 = 1 remainder 57 |
| 2 | 96 ÷ 57 = 1 remainder 39 |
| 3 | 57 ÷ 39 = 1 remainder 18 |
| 4 | 39 ÷ 18 = 2 remainder 3 |
| 5 | 18 ÷ 3 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 170 | 1870 |
| 12 and 187 | 2244 |
| 87 and 138 | 4002 |
| 44 and 80 | 880 |
| 11 and 93 | 1023 |