Least Common Multiple (LCM) of 93 and 164
The least common multiple (LCM) of 93 and 164 is 15252.
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 93 and 164?
First, calculate the GCD of 93 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 164 = 0 remainder 93 |
| 2 | 164 ÷ 93 = 1 remainder 71 |
| 3 | 93 ÷ 71 = 1 remainder 22 |
| 4 | 71 ÷ 22 = 3 remainder 5 |
| 5 | 22 ÷ 5 = 4 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 59 | 10620 |
| 188 and 37 | 6956 |
| 170 and 132 | 11220 |
| 142 and 28 | 1988 |
| 165 and 53 | 8745 |