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 |
|---|---|
| 112 and 120 | 1680 |
| 134 and 122 | 8174 |
| 162 and 139 | 22518 |
| 15 and 113 | 1695 |
| 39 and 110 | 4290 |