
Least Common Multiple (LCM) of 191 and 184
The least common multiple (LCM) of 191 and 184 is 35144.
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 191 and 184?
First, calculate the GCD of 191 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 191 ÷ 184 = 1 remainder 7 |
2 | 184 ÷ 7 = 26 remainder 2 |
3 | 7 ÷ 2 = 3 remainder 1 |
4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
129 and 187 | 24123 |
61 and 20 | 1220 |
187 and 88 | 1496 |
156 and 136 | 5304 |
124 and 194 | 12028 |