Least Common Multiple (LCM) of 33 and 77
The least common multiple (LCM) of 33 and 77 is 231.
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 33 and 77?
First, calculate the GCD of 33 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 33 ÷ 77 = 0 remainder 33 |
| 2 | 77 ÷ 33 = 2 remainder 11 |
| 3 | 33 ÷ 11 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 170 | 14110 |
| 182 and 78 | 546 |
| 112 and 153 | 17136 |
| 36 and 96 | 288 |
| 44 and 149 | 6556 |