Least Common Multiple (LCM) of 174 and 118
The least common multiple (LCM) of 174 and 118 is 10266.
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 118?
First, calculate the GCD of 174 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 118 = 1 remainder 56 |
| 2 | 118 ÷ 56 = 2 remainder 6 |
| 3 | 56 ÷ 6 = 9 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 164 | 3444 |
| 172 and 132 | 5676 |
| 69 and 32 | 2208 |
| 123 and 159 | 6519 |
| 98 and 199 | 19502 |