Least Common Multiple (LCM) of 181 and 152
The least common multiple (LCM) of 181 and 152 is 27512.
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 181 and 152?
First, calculate the GCD of 181 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 152 = 1 remainder 29 |
| 2 | 152 ÷ 29 = 5 remainder 7 |
| 3 | 29 ÷ 7 = 4 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 60 | 840 |
| 45 and 185 | 1665 |
| 54 and 127 | 6858 |
| 171 and 37 | 6327 |
| 128 and 199 | 25472 |