Least Common Multiple (LCM) of 185 and 121
The least common multiple (LCM) of 185 and 121 is 22385.
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 185 and 121?
First, calculate the GCD of 185 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 121 = 1 remainder 64 |
| 2 | 121 ÷ 64 = 1 remainder 57 |
| 3 | 64 ÷ 57 = 1 remainder 7 |
| 4 | 57 ÷ 7 = 8 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 175 | 18725 |
| 87 and 28 | 2436 |
| 169 and 146 | 24674 |
| 175 and 38 | 6650 |
| 110 and 181 | 19910 |