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 |
|---|---|
| 10 and 165 | 330 |
| 110 and 90 | 990 |
| 137 and 100 | 13700 |
| 192 and 77 | 14784 |
| 81 and 12 | 324 |