Least Common Multiple (LCM) of 156 and 181
The least common multiple (LCM) of 156 and 181 is 28236.
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 156 and 181?
First, calculate the GCD of 156 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 181 = 0 remainder 156 |
| 2 | 181 ÷ 156 = 1 remainder 25 |
| 3 | 156 ÷ 25 = 6 remainder 6 |
| 4 | 25 ÷ 6 = 4 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 70 | 630 |
| 31 and 26 | 806 |
| 59 and 111 | 6549 |
| 24 and 121 | 2904 |
| 129 and 118 | 15222 |