Least Common Multiple (LCM) of 48 and 52
The least common multiple (LCM) of 48 and 52 is 624.
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 48 and 52?
First, calculate the GCD of 48 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 48 ÷ 52 = 0 remainder 48 |
| 2 | 52 ÷ 48 = 1 remainder 4 |
| 3 | 48 ÷ 4 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 68 and 187 | 748 |
| 179 and 30 | 5370 |
| 175 and 192 | 33600 |
| 152 and 92 | 3496 |
| 133 and 95 | 665 |