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 |
|---|---|
| 127 and 27 | 3429 |
| 163 and 145 | 23635 |
| 85 and 52 | 4420 |
| 83 and 63 | 5229 |
| 93 and 64 | 5952 |