Least Common Multiple (LCM) of 79 and 32
The least common multiple (LCM) of 79 and 32 is 2528.
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 79 and 32?
First, calculate the GCD of 79 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 32 = 2 remainder 15 |
| 2 | 32 ÷ 15 = 2 remainder 2 |
| 3 | 15 ÷ 2 = 7 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 58 | 638 |
| 24 and 138 | 552 |
| 21 and 157 | 3297 |
| 17 and 38 | 646 |
| 180 and 97 | 17460 |