Least Common Multiple (LCM) of 79 and 139
The least common multiple (LCM) of 79 and 139 is 10981.
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 139?
First, calculate the GCD of 79 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 139 = 0 remainder 79 |
| 2 | 139 ÷ 79 = 1 remainder 60 |
| 3 | 79 ÷ 60 = 1 remainder 19 |
| 4 | 60 ÷ 19 = 3 remainder 3 |
| 5 | 19 ÷ 3 = 6 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 93 and 82 | 7626 |
| 58 and 34 | 986 |
| 50 and 17 | 850 |
| 76 and 45 | 3420 |
| 119 and 88 | 10472 |