Least Common Multiple (LCM) of 123 and 43
The least common multiple (LCM) of 123 and 43 is 5289.
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 43?
First, calculate the GCD of 123 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 123 ÷ 43 = 2 remainder 37 |
| 2 | 43 ÷ 37 = 1 remainder 6 |
| 3 | 37 ÷ 6 = 6 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 110 | 770 |
| 24 and 20 | 120 |
| 89 and 50 | 4450 |
| 18 and 90 | 90 |
| 189 and 43 | 8127 |