Least Common Multiple (LCM) of 121 and 48
The least common multiple (LCM) of 121 and 48 is 5808.
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 121 and 48?
First, calculate the GCD of 121 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 48 = 2 remainder 25 |
| 2 | 48 ÷ 25 = 1 remainder 23 |
| 3 | 25 ÷ 23 = 1 remainder 2 |
| 4 | 23 ÷ 2 = 11 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 124 | 3348 |
| 126 and 106 | 6678 |
| 43 and 91 | 3913 |
| 26 and 117 | 234 |
| 187 and 35 | 6545 |