Least Common Multiple (LCM) of 124 and 44
The least common multiple (LCM) of 124 and 44 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 124 and 44?
First, calculate the GCD of 124 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 44 = 2 remainder 36 |
| 2 | 44 ÷ 36 = 1 remainder 8 |
| 3 | 36 ÷ 8 = 4 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 193 | 32617 |
| 108 and 62 | 3348 |
| 57 and 134 | 7638 |
| 21 and 103 | 2163 |
| 151 and 81 | 12231 |