Least Common Multiple (LCM) of 174 and 179
The least common multiple (LCM) of 174 and 179 is 31146.
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 174 and 179?
First, calculate the GCD of 174 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 179 = 0 remainder 174 |
| 2 | 179 ÷ 174 = 1 remainder 5 |
| 3 | 174 ÷ 5 = 34 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 173 | 30967 |
| 73 and 95 | 6935 |
| 39 and 105 | 1365 |
| 129 and 67 | 8643 |
| 15 and 144 | 720 |