
Least Common Multiple (LCM) of 198 and 121
The least common multiple (LCM) of 198 and 121 is 2178.
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 198 and 121?
First, calculate the GCD of 198 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 198 ÷ 121 = 1 remainder 77 |
2 | 121 ÷ 77 = 1 remainder 44 |
3 | 77 ÷ 44 = 1 remainder 33 |
4 | 44 ÷ 33 = 1 remainder 11 |
5 | 33 ÷ 11 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
12 and 26 | 156 |
101 and 94 | 9494 |
196 and 79 | 15484 |
169 and 107 | 18083 |
184 and 181 | 33304 |