Least Common Multiple (LCM) of 124 and 114
The least common multiple (LCM) of 124 and 114 is 7068.
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 124 and 114?
First, calculate the GCD of 124 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 114 = 1 remainder 10 |
| 2 | 114 ÷ 10 = 11 remainder 4 |
| 3 | 10 ÷ 4 = 2 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 169 | 25181 |
| 181 and 132 | 23892 |
| 121 and 189 | 22869 |
| 175 and 191 | 33425 |
| 132 and 56 | 1848 |