Least Common Multiple (LCM) of 179 and 196
The least common multiple (LCM) of 179 and 196 is 35084.
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 179 and 196?
First, calculate the GCD of 179 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 196 = 0 remainder 179 |
| 2 | 196 ÷ 179 = 1 remainder 17 |
| 3 | 179 ÷ 17 = 10 remainder 9 |
| 4 | 17 ÷ 9 = 1 remainder 8 |
| 5 | 9 ÷ 8 = 1 remainder 1 |
| 6 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 160 | 3360 |
| 99 and 132 | 396 |
| 78 and 117 | 234 |
| 78 and 75 | 1950 |
| 82 and 134 | 5494 |