Least Common Multiple (LCM) of 44 and 124
The least common multiple (LCM) of 44 and 124 is 1364.
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 44 and 124?
First, calculate the GCD of 44 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 124 = 0 remainder 44 |
| 2 | 124 ÷ 44 = 2 remainder 36 |
| 3 | 44 ÷ 36 = 1 remainder 8 |
| 4 | 36 ÷ 8 = 4 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 115 | 13915 |
| 50 and 14 | 350 |
| 136 and 85 | 680 |
| 158 and 116 | 9164 |
| 130 and 143 | 1430 |