Least Common Multiple (LCM) of 107 and 37
The least common multiple (LCM) of 107 and 37 is 3959.
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 37?
First, calculate the GCD of 107 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 37 = 2 remainder 33 |
| 2 | 37 ÷ 33 = 1 remainder 4 |
| 3 | 33 ÷ 4 = 8 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 79 | 13114 |
| 105 and 77 | 1155 |
| 183 and 79 | 14457 |
| 47 and 97 | 4559 |
| 106 and 124 | 6572 |