Least Common Multiple (LCM) of 174 and 52
The least common multiple (LCM) of 174 and 52 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 174 and 52?
First, calculate the GCD of 174 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 52 = 3 remainder 18 |
| 2 | 52 ÷ 18 = 2 remainder 16 |
| 3 | 18 ÷ 16 = 1 remainder 2 |
| 4 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 31 | 4743 |
| 154 and 72 | 5544 |
| 143 and 134 | 19162 |
| 134 and 195 | 26130 |
| 125 and 107 | 13375 |