Least Common Multiple (LCM) of 44 and 77
The least common multiple (LCM) of 44 and 77 is 308.
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 77?
First, calculate the GCD of 44 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 77 = 0 remainder 44 |
| 2 | 77 ÷ 44 = 1 remainder 33 |
| 3 | 44 ÷ 33 = 1 remainder 11 |
| 4 | 33 ÷ 11 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 190 | 18240 |
| 182 and 184 | 16744 |
| 39 and 124 | 4836 |
| 143 and 92 | 13156 |
| 91 and 108 | 9828 |