Least Common Multiple (LCM) of 121 and 194
The least common multiple (LCM) of 121 and 194 is 23474.
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 194?
First, calculate the GCD of 121 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 194 = 0 remainder 121 |
| 2 | 194 ÷ 121 = 1 remainder 73 |
| 3 | 121 ÷ 73 = 1 remainder 48 |
| 4 | 73 ÷ 48 = 1 remainder 25 |
| 5 | 48 ÷ 25 = 1 remainder 23 |
| 6 | 25 ÷ 23 = 1 remainder 2 |
| 7 | 23 ÷ 2 = 11 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 166 | 8466 |
| 73 and 53 | 3869 |
| 77 and 80 | 6160 |
| 57 and 12 | 228 |
| 182 and 115 | 20930 |