Least Common Multiple (LCM) of 143 and 139
The least common multiple (LCM) of 143 and 139 is 19877.
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 143 and 139?
First, calculate the GCD of 143 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 139 = 1 remainder 4 |
| 2 | 139 ÷ 4 = 34 remainder 3 |
| 3 | 4 ÷ 3 = 1 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 69 | 2553 |
| 42 and 49 | 294 |
| 196 and 95 | 18620 |
| 170 and 18 | 1530 |
| 119 and 160 | 19040 |