Least Common Multiple (LCM) of 96 and 52
The least common multiple (LCM) of 96 and 52 is 1248.
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 52?
First, calculate the GCD of 96 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 96 ÷ 52 = 1 remainder 44 |
| 2 | 52 ÷ 44 = 1 remainder 8 |
| 3 | 44 ÷ 8 = 5 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 43 | 4343 |
| 115 and 152 | 17480 |
| 167 and 70 | 11690 |
| 86 and 144 | 6192 |
| 52 and 178 | 4628 |