Least Common Multiple (LCM) of 196 and 139
The least common multiple (LCM) of 196 and 139 is 27244.
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 196 and 139?
First, calculate the GCD of 196 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 139 = 1 remainder 57 |
| 2 | 139 ÷ 57 = 2 remainder 25 |
| 3 | 57 ÷ 25 = 2 remainder 7 |
| 4 | 25 ÷ 7 = 3 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 90 | 8010 |
| 98 and 58 | 2842 |
| 36 and 194 | 3492 |
| 192 and 123 | 7872 |
| 143 and 179 | 25597 |