Least Common Multiple (LCM) of 79 and 47
The least common multiple (LCM) of 79 and 47 is 3713.
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 47?
First, calculate the GCD of 79 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 47 = 1 remainder 32 |
| 2 | 47 ÷ 32 = 1 remainder 15 |
| 3 | 32 ÷ 15 = 2 remainder 2 |
| 4 | 15 ÷ 2 = 7 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 154 | 16478 |
| 138 and 127 | 17526 |
| 158 and 16 | 1264 |
| 152 and 99 | 15048 |
| 177 and 180 | 10620 |