Least Common Multiple (LCM) of 76 and 181
The least common multiple (LCM) of 76 and 181 is 13756.
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 76 and 181?
First, calculate the GCD of 76 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 76 ÷ 181 = 0 remainder 76 |
| 2 | 181 ÷ 76 = 2 remainder 29 |
| 3 | 76 ÷ 29 = 2 remainder 18 |
| 4 | 29 ÷ 18 = 1 remainder 11 |
| 5 | 18 ÷ 11 = 1 remainder 7 |
| 6 | 11 ÷ 7 = 1 remainder 4 |
| 7 | 7 ÷ 4 = 1 remainder 3 |
| 8 | 4 ÷ 3 = 1 remainder 1 |
| 9 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 136 | 3672 |
| 112 and 172 | 4816 |
| 97 and 50 | 4850 |
| 176 and 148 | 6512 |
| 160 and 198 | 15840 |