Least Common Multiple (LCM) of 48 and 56
The least common multiple (LCM) of 48 and 56 is 336.
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 56?
First, calculate the GCD of 48 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 48 ÷ 56 = 0 remainder 48 |
| 2 | 56 ÷ 48 = 1 remainder 8 |
| 3 | 48 ÷ 8 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 75 | 9075 |
| 35 and 13 | 455 |
| 154 and 70 | 770 |
| 83 and 135 | 11205 |
| 197 and 131 | 25807 |