Least Common Multiple (LCM) of 110 and 124
The least common multiple (LCM) of 110 and 124 is 6820.
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 110 and 124?
First, calculate the GCD of 110 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 124 = 0 remainder 110 |
| 2 | 124 ÷ 110 = 1 remainder 14 |
| 3 | 110 ÷ 14 = 7 remainder 12 |
| 4 | 14 ÷ 12 = 1 remainder 2 |
| 5 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 57 | 3990 |
| 39 and 59 | 2301 |
| 185 and 10 | 370 |
| 46 and 78 | 1794 |
| 102 and 36 | 612 |