Least Common Multiple (LCM) of 52 and 174
The least common multiple (LCM) of 52 and 174 is 4524.
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 52 and 174?
First, calculate the GCD of 52 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 174 = 0 remainder 52 |
| 2 | 174 ÷ 52 = 3 remainder 18 |
| 3 | 52 ÷ 18 = 2 remainder 16 |
| 4 | 18 ÷ 16 = 1 remainder 2 |
| 5 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 58 | 4988 |
| 70 and 55 | 770 |
| 12 and 65 | 780 |
| 190 and 98 | 9310 |
| 192 and 182 | 17472 |