Least Common Multiple (LCM) of 174 and 63
The least common multiple (LCM) of 174 and 63 is 3654.
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 63?
First, calculate the GCD of 174 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 63 = 2 remainder 48 |
| 2 | 63 ÷ 48 = 1 remainder 15 |
| 3 | 48 ÷ 15 = 3 remainder 3 |
| 4 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 115 | 16330 |
| 198 and 140 | 13860 |
| 149 and 74 | 11026 |
| 156 and 17 | 2652 |
| 111 and 178 | 19758 |