Least Common Multiple (LCM) of 31 and 153
The least common multiple (LCM) of 31 and 153 is 4743.
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 153?
First, calculate the GCD of 31 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 31 ÷ 153 = 0 remainder 31 |
| 2 | 153 ÷ 31 = 4 remainder 29 |
| 3 | 31 ÷ 29 = 1 remainder 2 |
| 4 | 29 ÷ 2 = 14 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 145 | 16095 |
| 134 and 142 | 9514 |
| 193 and 95 | 18335 |
| 181 and 22 | 3982 |
| 17 and 199 | 3383 |