Least Common Multiple (LCM) of 39 and 196
The least common multiple (LCM) of 39 and 196 is 7644.
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 39 and 196?
First, calculate the GCD of 39 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 196 = 0 remainder 39 |
| 2 | 196 ÷ 39 = 5 remainder 1 |
| 3 | 39 ÷ 1 = 39 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 70 | 770 |
| 174 and 142 | 12354 |
| 156 and 194 | 15132 |
| 172 and 100 | 4300 |
| 118 and 176 | 10384 |