Least Common Multiple (LCM) of 138 and 79
The least common multiple (LCM) of 138 and 79 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 138 and 79?
First, calculate the GCD of 138 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 79 = 1 remainder 59 |
| 2 | 79 ÷ 59 = 1 remainder 20 |
| 3 | 59 ÷ 20 = 2 remainder 19 |
| 4 | 20 ÷ 19 = 1 remainder 1 |
| 5 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 13 | 1001 |
| 128 and 78 | 4992 |
| 145 and 111 | 16095 |
| 60 and 189 | 3780 |
| 11 and 44 | 44 |