Least Common Multiple (LCM) of 79 and 138
The least common multiple (LCM) of 79 and 138 is 10902.
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 138?
First, calculate the GCD of 79 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 138 = 0 remainder 79 |
| 2 | 138 ÷ 79 = 1 remainder 59 |
| 3 | 79 ÷ 59 = 1 remainder 20 |
| 4 | 59 ÷ 20 = 2 remainder 19 |
| 5 | 20 ÷ 19 = 1 remainder 1 |
| 6 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 65 | 1430 |
| 55 and 77 | 385 |
| 17 and 85 | 85 |
| 57 and 145 | 8265 |
| 39 and 200 | 7800 |