Least Common Multiple (LCM) of 118 and 174
The least common multiple (LCM) of 118 and 174 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 118 and 174?
First, calculate the GCD of 118 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 174 = 0 remainder 118 |
| 2 | 174 ÷ 118 = 1 remainder 56 |
| 3 | 118 ÷ 56 = 2 remainder 6 |
| 4 | 56 ÷ 6 = 9 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 16 | 2256 |
| 169 and 148 | 25012 |
| 194 and 156 | 15132 |
| 109 and 164 | 17876 |
| 106 and 51 | 5406 |