
Least Common Multiple (LCM) of 131 and 198
The least common multiple (LCM) of 131 and 198 is 25938.
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 131 and 198?
First, calculate the GCD of 131 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 131 ÷ 198 = 0 remainder 131 |
2 | 198 ÷ 131 = 1 remainder 67 |
3 | 131 ÷ 67 = 1 remainder 64 |
4 | 67 ÷ 64 = 1 remainder 3 |
5 | 64 ÷ 3 = 21 remainder 1 |
6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
160 and 98 | 7840 |
181 and 99 | 17919 |
133 and 100 | 13300 |
111 and 122 | 13542 |
20 and 183 | 3660 |