Least Common Multiple (LCM) of 93 and 176
The least common multiple (LCM) of 93 and 176 is 16368.
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 176?
First, calculate the GCD of 93 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 176 = 0 remainder 93 |
| 2 | 176 ÷ 93 = 1 remainder 83 |
| 3 | 93 ÷ 83 = 1 remainder 10 |
| 4 | 83 ÷ 10 = 8 remainder 3 |
| 5 | 10 ÷ 3 = 3 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 59 | 11151 |
| 25 and 160 | 800 |
| 74 and 171 | 12654 |
| 116 and 199 | 23084 |
| 111 and 160 | 17760 |