Least Common Multiple (LCM) of 158 and 78
The least common multiple (LCM) of 158 and 78 is 6162.
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 158 and 78?
First, calculate the GCD of 158 and 78 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 78 = 2 remainder 2 |
| 2 | 78 ÷ 2 = 39 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 86 and 12 | 516 |
| 126 and 56 | 504 |
| 54 and 16 | 432 |
| 149 and 13 | 1937 |
| 167 and 42 | 7014 |