Least Common Multiple (LCM) of 44 and 156
The least common multiple (LCM) of 44 and 156 is 1716.
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 156?
First, calculate the GCD of 44 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 156 = 0 remainder 44 |
| 2 | 156 ÷ 44 = 3 remainder 24 |
| 3 | 44 ÷ 24 = 1 remainder 20 |
| 4 | 24 ÷ 20 = 1 remainder 4 |
| 5 | 20 ÷ 4 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 131 | 14934 |
| 84 and 74 | 3108 |
| 162 and 157 | 25434 |
| 22 and 21 | 462 |
| 164 and 81 | 13284 |