Least Common Multiple (LCM) of 44 and 153
The least common multiple (LCM) of 44 and 153 is 6732.
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 153?
First, calculate the GCD of 44 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 153 = 0 remainder 44 |
| 2 | 153 ÷ 44 = 3 remainder 21 |
| 3 | 44 ÷ 21 = 2 remainder 2 |
| 4 | 21 ÷ 2 = 10 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 53 | 7526 |
| 123 and 196 | 24108 |
| 96 and 52 | 1248 |
| 182 and 34 | 3094 |
| 158 and 52 | 4108 |