Least Common Multiple (LCM) of 111 and 79
The least common multiple (LCM) of 111 and 79 is 8769.
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 111 and 79?
First, calculate the GCD of 111 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 79 = 1 remainder 32 |
| 2 | 79 ÷ 32 = 2 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 |
|---|---|
| 21 and 63 | 63 |
| 158 and 182 | 14378 |
| 69 and 51 | 1173 |
| 172 and 126 | 10836 |
| 143 and 30 | 4290 |