Least Common Multiple (LCM) of 154 and 96
The least common multiple (LCM) of 154 and 96 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 154 and 96?
First, calculate the GCD of 154 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 96 = 1 remainder 58 |
| 2 | 96 ÷ 58 = 1 remainder 38 |
| 3 | 58 ÷ 38 = 1 remainder 20 |
| 4 | 38 ÷ 20 = 1 remainder 18 |
| 5 | 20 ÷ 18 = 1 remainder 2 |
| 6 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 97 | 10282 |
| 158 and 146 | 11534 |
| 87 and 159 | 4611 |
| 197 and 170 | 33490 |
| 68 and 72 | 1224 |