Least Common Multiple (LCM) of 78 and 157
The least common multiple (LCM) of 78 and 157 is 12246.
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 157?
First, calculate the GCD of 78 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 78 ÷ 157 = 0 remainder 78 |
| 2 | 157 ÷ 78 = 2 remainder 1 |
| 3 | 78 ÷ 1 = 78 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 189 | 26838 |
| 144 and 13 | 1872 |
| 161 and 155 | 24955 |
| 174 and 97 | 16878 |
| 149 and 132 | 19668 |