Least Common Multiple (LCM) of 79 and 127
The least common multiple (LCM) of 79 and 127 is 10033.
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 127?
First, calculate the GCD of 79 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 127 = 0 remainder 79 |
| 2 | 127 ÷ 79 = 1 remainder 48 |
| 3 | 79 ÷ 48 = 1 remainder 31 |
| 4 | 48 ÷ 31 = 1 remainder 17 |
| 5 | 31 ÷ 17 = 1 remainder 14 |
| 6 | 17 ÷ 14 = 1 remainder 3 |
| 7 | 14 ÷ 3 = 4 remainder 2 |
| 8 | 3 ÷ 2 = 1 remainder 1 |
| 9 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 42 | 126 |
| 171 and 86 | 14706 |
| 170 and 57 | 9690 |
| 101 and 53 | 5353 |
| 57 and 60 | 1140 |