Least Common Multiple (LCM) of 30 and 121
The least common multiple (LCM) of 30 and 121 is 3630.
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 30 and 121?
First, calculate the GCD of 30 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 30 ÷ 121 = 0 remainder 30 |
| 2 | 121 ÷ 30 = 4 remainder 1 |
| 3 | 30 ÷ 1 = 30 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 62 | 5270 |
| 110 and 85 | 1870 |
| 117 and 184 | 21528 |
| 77 and 198 | 1386 |
| 105 and 49 | 735 |