Least Common Multiple (LCM) of 76 and 155
The least common multiple (LCM) of 76 and 155 is 11780.
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 155?
First, calculate the GCD of 76 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 76 ÷ 155 = 0 remainder 76 |
| 2 | 155 ÷ 76 = 2 remainder 3 |
| 3 | 76 ÷ 3 = 25 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 166 | 12782 |
| 145 and 123 | 17835 |
| 36 and 173 | 6228 |
| 165 and 16 | 2640 |
| 193 and 166 | 32038 |