Least Common Multiple (LCM) of 123 and 63
The least common multiple (LCM) of 123 and 63 is 2583.
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 123 and 63?
First, calculate the GCD of 123 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 123 ÷ 63 = 1 remainder 60 |
| 2 | 63 ÷ 60 = 1 remainder 3 |
| 3 | 60 ÷ 3 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 200 | 27800 |
| 43 and 69 | 2967 |
| 167 and 133 | 22211 |
| 118 and 82 | 4838 |
| 149 and 44 | 6556 |