
Least Common Multiple (LCM) of 185 and 191
The least common multiple (LCM) of 185 and 191 is 35335.
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 185 and 191?
First, calculate the GCD of 185 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 185 ÷ 191 = 0 remainder 185 |
2 | 191 ÷ 185 = 1 remainder 6 |
3 | 185 ÷ 6 = 30 remainder 5 |
4 | 6 ÷ 5 = 1 remainder 1 |
5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
72 and 36 | 72 |
52 and 132 | 1716 |
70 and 141 | 9870 |
101 and 33 | 3333 |
101 and 101 | 101 |