Least Common Multiple (LCM) of 121 and 185
The least common multiple (LCM) of 121 and 185 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 121 and 185?
First, calculate the GCD of 121 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 185 = 0 remainder 121 |
| 2 | 185 ÷ 121 = 1 remainder 64 |
| 3 | 121 ÷ 64 = 1 remainder 57 |
| 4 | 64 ÷ 57 = 1 remainder 7 |
| 5 | 57 ÷ 7 = 8 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 154 | 462 |
| 194 and 11 | 2134 |
| 45 and 38 | 1710 |
| 127 and 126 | 16002 |
| 39 and 72 | 936 |