Least Common Multiple (LCM) of 107 and 93
The least common multiple (LCM) of 107 and 93 is 9951.
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 107 and 93?
First, calculate the GCD of 107 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 93 = 1 remainder 14 |
| 2 | 93 ÷ 14 = 6 remainder 9 |
| 3 | 14 ÷ 9 = 1 remainder 5 |
| 4 | 9 ÷ 5 = 1 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 38 | 6270 |
| 104 and 101 | 10504 |
| 153 and 163 | 24939 |
| 136 and 150 | 10200 |
| 11 and 88 | 88 |