Least Common Multiple (LCM) of 151 and 181
The least common multiple (LCM) of 151 and 181 is 27331.
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 181?
First, calculate the GCD of 151 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 181 = 0 remainder 151 |
| 2 | 181 ÷ 151 = 1 remainder 30 |
| 3 | 151 ÷ 30 = 5 remainder 1 |
| 4 | 30 ÷ 1 = 30 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 130 | 6630 |
| 157 and 77 | 12089 |
| 172 and 180 | 7740 |
| 198 and 51 | 3366 |
| 108 and 175 | 18900 |