Least Common Multiple (LCM) of 143 and 78
The least common multiple (LCM) of 143 and 78 is 858.
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 143 and 78?
First, calculate the GCD of 143 and 78 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 78 = 1 remainder 65 |
| 2 | 78 ÷ 65 = 1 remainder 13 |
| 3 | 65 ÷ 13 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 155 | 3255 |
| 157 and 82 | 12874 |
| 72 and 158 | 5688 |
| 41 and 68 | 2788 |
| 77 and 130 | 10010 |