Least Common Multiple (LCM) of 142 and 124
The least common multiple (LCM) of 142 and 124 is 8804.
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 142 and 124?
First, calculate the GCD of 142 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 124 = 1 remainder 18 |
| 2 | 124 ÷ 18 = 6 remainder 16 |
| 3 | 18 ÷ 16 = 1 remainder 2 |
| 4 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 96 and 57 | 1824 |
| 108 and 139 | 15012 |
| 118 and 28 | 1652 |
| 74 and 23 | 1702 |
| 179 and 189 | 33831 |