Least Common Multiple (LCM) of 79 and 174
The least common multiple (LCM) of 79 and 174 is 13746.
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 79 and 174?
First, calculate the GCD of 79 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 174 = 0 remainder 79 |
| 2 | 174 ÷ 79 = 2 remainder 16 |
| 3 | 79 ÷ 16 = 4 remainder 15 |
| 4 | 16 ÷ 15 = 1 remainder 1 |
| 5 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 33 | 2046 |
| 77 and 80 | 6160 |
| 12 and 191 | 2292 |
| 188 and 39 | 7332 |
| 164 and 75 | 12300 |