Least Common Multiple (LCM) of 59 and 143
The least common multiple (LCM) of 59 and 143 is 8437.
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 59 and 143?
First, calculate the GCD of 59 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 143 = 0 remainder 59 |
| 2 | 143 ÷ 59 = 2 remainder 25 |
| 3 | 59 ÷ 25 = 2 remainder 9 |
| 4 | 25 ÷ 9 = 2 remainder 7 |
| 5 | 9 ÷ 7 = 1 remainder 2 |
| 6 | 7 ÷ 2 = 3 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 184 and 162 | 14904 |
| 145 and 67 | 9715 |
| 44 and 168 | 1848 |
| 38 and 74 | 1406 |
| 80 and 170 | 1360 |