Least Common Multiple (LCM) of 96 and 154
The least common multiple (LCM) of 96 and 154 is 7392.
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 154?
First, calculate the GCD of 96 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 96 ÷ 154 = 0 remainder 96 |
| 2 | 154 ÷ 96 = 1 remainder 58 |
| 3 | 96 ÷ 58 = 1 remainder 38 |
| 4 | 58 ÷ 38 = 1 remainder 20 |
| 5 | 38 ÷ 20 = 1 remainder 18 |
| 6 | 20 ÷ 18 = 1 remainder 2 |
| 7 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 52 | 1560 |
| 89 and 111 | 9879 |
| 135 and 39 | 1755 |
| 16 and 193 | 3088 |
| 190 and 134 | 12730 |