Least Common Multiple (LCM) of 107 and 160
The least common multiple (LCM) of 107 and 160 is 17120.
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 160?
First, calculate the GCD of 107 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 160 = 0 remainder 107 |
| 2 | 160 ÷ 107 = 1 remainder 53 |
| 3 | 107 ÷ 53 = 2 remainder 1 |
| 4 | 53 ÷ 1 = 53 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 84 | 420 |
| 86 and 62 | 2666 |
| 46 and 27 | 1242 |
| 171 and 134 | 22914 |
| 14 and 141 | 1974 |