Least Common Multiple (LCM) of 179 and 174
The least common multiple (LCM) of 179 and 174 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 179 and 174?
First, calculate the GCD of 179 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 174 = 1 remainder 5 |
| 2 | 174 ÷ 5 = 34 remainder 4 |
| 3 | 5 ÷ 4 = 1 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 102 | 6630 |
| 140 and 50 | 700 |
| 58 and 152 | 4408 |
| 37 and 75 | 2775 |
| 184 and 192 | 4416 |