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 |
|---|---|
| 42 and 73 | 3066 |
| 72 and 69 | 1656 |
| 143 and 117 | 1287 |
| 37 and 125 | 4625 |
| 200 and 71 | 14200 |