Least Common Multiple (LCM) of 48 and 122
The least common multiple (LCM) of 48 and 122 is 2928.
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 122?
First, calculate the GCD of 48 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 48 ÷ 122 = 0 remainder 48 |
| 2 | 122 ÷ 48 = 2 remainder 26 |
| 3 | 48 ÷ 26 = 1 remainder 22 |
| 4 | 26 ÷ 22 = 1 remainder 4 |
| 5 | 22 ÷ 4 = 5 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 131 | 24366 |
| 38 and 120 | 2280 |
| 114 and 143 | 16302 |
| 166 and 33 | 5478 |
| 148 and 21 | 3108 |