Least Common Multiple (LCM) of 78 and 155
The least common multiple (LCM) of 78 and 155 is 12090.
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 78 and 155?
First, calculate the GCD of 78 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 78 ÷ 155 = 0 remainder 78 |
| 2 | 155 ÷ 78 = 1 remainder 77 |
| 3 | 78 ÷ 77 = 1 remainder 1 |
| 4 | 77 ÷ 1 = 77 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 110 | 18370 |
| 101 and 33 | 3333 |
| 102 and 112 | 5712 |
| 194 and 185 | 35890 |
| 141 and 165 | 7755 |