Least Common Multiple (LCM) of 153 and 31
The least common multiple (LCM) of 153 and 31 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 153 and 31?
First, calculate the GCD of 153 and 31 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 31 = 4 remainder 29 |
| 2 | 31 ÷ 29 = 1 remainder 2 |
| 3 | 29 ÷ 2 = 14 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 33 | 5775 |
| 54 and 145 | 7830 |
| 200 and 144 | 3600 |
| 33 and 200 | 6600 |
| 126 and 200 | 12600 |