Least Common Multiple (LCM) of 197 and 78
The least common multiple (LCM) of 197 and 78 is 15366.
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 197 and 78?
First, calculate the GCD of 197 and 78 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 78 = 2 remainder 41 |
| 2 | 78 ÷ 41 = 1 remainder 37 |
| 3 | 41 ÷ 37 = 1 remainder 4 |
| 4 | 37 ÷ 4 = 9 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 142 | 14626 |
| 134 and 143 | 19162 |
| 113 and 145 | 16385 |
| 108 and 155 | 16740 |
| 139 and 40 | 5560 |