Least Common Multiple (LCM) of 174 and 164
The least common multiple (LCM) of 174 and 164 is 14268.
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 164?
First, calculate the GCD of 174 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 164 = 1 remainder 10 |
| 2 | 164 ÷ 10 = 16 remainder 4 |
| 3 | 10 ÷ 4 = 2 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 52 | 3068 |
| 94 and 126 | 5922 |
| 120 and 17 | 2040 |
| 134 and 39 | 5226 |
| 115 and 76 | 8740 |