Least Common Multiple (LCM) of 42 and 124
The least common multiple (LCM) of 42 and 124 is 2604.
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 42 and 124?
First, calculate the GCD of 42 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 42 ÷ 124 = 0 remainder 42 |
| 2 | 124 ÷ 42 = 2 remainder 40 |
| 3 | 42 ÷ 40 = 1 remainder 2 |
| 4 | 40 ÷ 2 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 109 | 5559 |
| 106 and 19 | 2014 |
| 43 and 115 | 4945 |
| 138 and 25 | 3450 |
| 53 and 88 | 4664 |