Least Common Multiple (LCM) of 79 and 112
The least common multiple (LCM) of 79 and 112 is 8848.
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 112?
First, calculate the GCD of 79 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 112 = 0 remainder 79 |
| 2 | 112 ÷ 79 = 1 remainder 33 |
| 3 | 79 ÷ 33 = 2 remainder 13 |
| 4 | 33 ÷ 13 = 2 remainder 7 |
| 5 | 13 ÷ 7 = 1 remainder 6 |
| 6 | 7 ÷ 6 = 1 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 79 | 2528 |
| 91 and 155 | 14105 |
| 128 and 129 | 16512 |
| 135 and 122 | 16470 |
| 124 and 56 | 1736 |