Least Common Multiple (LCM) of 123 and 111
The least common multiple (LCM) of 123 and 111 is 4551.
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 111?
First, calculate the GCD of 123 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 123 ÷ 111 = 1 remainder 12 |
| 2 | 111 ÷ 12 = 9 remainder 3 |
| 3 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 28 | 1260 |
| 63 and 154 | 1386 |
| 77 and 121 | 847 |
| 137 and 69 | 9453 |
| 68 and 18 | 612 |