Least Common Multiple (LCM) of 151 and 163
The least common multiple (LCM) of 151 and 163 is 24613.
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 151 and 163?
First, calculate the GCD of 151 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 163 = 0 remainder 151 |
| 2 | 163 ÷ 151 = 1 remainder 12 |
| 3 | 151 ÷ 12 = 12 remainder 7 |
| 4 | 12 ÷ 7 = 1 remainder 5 |
| 5 | 7 ÷ 5 = 1 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 59 | 11033 |
| 165 and 14 | 2310 |
| 142 and 33 | 4686 |
| 126 and 198 | 1386 |
| 169 and 43 | 7267 |