Least Common Multiple (LCM) of 96 and 124
The least common multiple (LCM) of 96 and 124 is 2976.
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 124?
First, calculate the GCD of 96 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 96 ÷ 124 = 0 remainder 96 |
| 2 | 124 ÷ 96 = 1 remainder 28 |
| 3 | 96 ÷ 28 = 3 remainder 12 |
| 4 | 28 ÷ 12 = 2 remainder 4 |
| 5 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 138 | 17526 |
| 142 and 165 | 23430 |
| 59 and 89 | 5251 |
| 127 and 33 | 4191 |
| 142 and 49 | 6958 |