Least Common Multiple (LCM) of 107 and 73
The least common multiple (LCM) of 107 and 73 is 7811.
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 73?
First, calculate the GCD of 107 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 73 = 1 remainder 34 |
| 2 | 73 ÷ 34 = 2 remainder 5 |
| 3 | 34 ÷ 5 = 6 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 95 | 10165 |
| 173 and 173 | 173 |
| 111 and 178 | 19758 |
| 21 and 31 | 651 |
| 19 and 147 | 2793 |