Least Common Multiple (LCM) of 164 and 57
The least common multiple (LCM) of 164 and 57 is 9348.
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 164 and 57?
First, calculate the GCD of 164 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 57 = 2 remainder 50 |
| 2 | 57 ÷ 50 = 1 remainder 7 |
| 3 | 50 ÷ 7 = 7 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 104 | 5512 |
| 75 and 33 | 825 |
| 141 and 101 | 14241 |
| 144 and 137 | 19728 |
| 156 and 113 | 17628 |