Least Common Multiple (LCM) of 31 and 154
The least common multiple (LCM) of 31 and 154 is 4774.
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 31 and 154?
First, calculate the GCD of 31 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 31 ÷ 154 = 0 remainder 31 |
| 2 | 154 ÷ 31 = 4 remainder 30 |
| 3 | 31 ÷ 30 = 1 remainder 1 |
| 4 | 30 ÷ 1 = 30 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 82 | 14842 |
| 185 and 16 | 2960 |
| 69 and 73 | 5037 |
| 11 and 62 | 682 |
| 175 and 44 | 7700 |