Least Common Multiple (LCM) of 77 and 44
The least common multiple (LCM) of 77 and 44 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 77 and 44?
First, calculate the GCD of 77 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 77 ÷ 44 = 1 remainder 33 |
| 2 | 44 ÷ 33 = 1 remainder 11 |
| 3 | 33 ÷ 11 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 31 | 1705 |
| 178 and 61 | 10858 |
| 120 and 101 | 12120 |
| 165 and 127 | 20955 |
| 190 and 186 | 17670 |