Least Common Multiple (LCM) of 33 and 79
The least common multiple (LCM) of 33 and 79 is 2607.
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 79?
First, calculate the GCD of 33 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 33 ÷ 79 = 0 remainder 33 |
| 2 | 79 ÷ 33 = 2 remainder 13 |
| 3 | 33 ÷ 13 = 2 remainder 7 |
| 4 | 13 ÷ 7 = 1 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 96 | 2208 |
| 40 and 95 | 760 |
| 25 and 142 | 3550 |
| 113 and 193 | 21809 |
| 121 and 15 | 1815 |