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 |
|---|---|
| 191 and 91 | 17381 |
| 95 and 47 | 4465 |
| 176 and 186 | 16368 |
| 121 and 62 | 7502 |
| 49 and 66 | 3234 |