Least Common Multiple (LCM) of 107 and 79
The least common multiple (LCM) of 107 and 79 is 8453.
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 107 and 79?
First, calculate the GCD of 107 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 79 = 1 remainder 28 |
| 2 | 79 ÷ 28 = 2 remainder 23 |
| 3 | 28 ÷ 23 = 1 remainder 5 |
| 4 | 23 ÷ 5 = 4 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 44 and 109 | 4796 |
| 200 and 19 | 3800 |
| 73 and 178 | 12994 |
| 103 and 137 | 14111 |
| 179 and 151 | 27029 |