Least Common Multiple (LCM) of 107 and 143
The least common multiple (LCM) of 107 and 143 is 15301.
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 143?
First, calculate the GCD of 107 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 143 = 0 remainder 107 |
| 2 | 143 ÷ 107 = 1 remainder 36 |
| 3 | 107 ÷ 36 = 2 remainder 35 |
| 4 | 36 ÷ 35 = 1 remainder 1 |
| 5 | 35 ÷ 1 = 35 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 37 | 1295 |
| 36 and 57 | 684 |
| 173 and 136 | 23528 |
| 129 and 187 | 24123 |
| 26 and 34 | 442 |