Least Common Multiple (LCM) of 174 and 133
The least common multiple (LCM) of 174 and 133 is 23142.
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 133?
First, calculate the GCD of 174 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 133 = 1 remainder 41 |
| 2 | 133 ÷ 41 = 3 remainder 10 |
| 3 | 41 ÷ 10 = 4 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 22 | 836 |
| 90 and 102 | 1530 |
| 80 and 16 | 80 |
| 163 and 36 | 5868 |
| 159 and 67 | 10653 |