Least Common Multiple (LCM) of 174 and 58
The least common multiple (LCM) of 174 and 58 is 174.
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 58?
First, calculate the GCD of 174 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 58 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 121 | 16456 |
| 107 and 62 | 6634 |
| 134 and 112 | 7504 |
| 36 and 102 | 612 |
| 20 and 31 | 620 |