Least Common Multiple (LCM) of 139 and 63
The least common multiple (LCM) of 139 and 63 is 8757.
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 139 and 63?
First, calculate the GCD of 139 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 63 = 2 remainder 13 |
| 2 | 63 ÷ 13 = 4 remainder 11 |
| 3 | 13 ÷ 11 = 1 remainder 2 |
| 4 | 11 ÷ 2 = 5 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 118 | 9558 |
| 39 and 181 | 7059 |
| 43 and 34 | 1462 |
| 46 and 19 | 874 |
| 55 and 55 | 55 |