Least Common Multiple (LCM) of 145 and 79
The least common multiple (LCM) of 145 and 79 is 11455.
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 145 and 79?
First, calculate the GCD of 145 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 79 = 1 remainder 66 |
| 2 | 79 ÷ 66 = 1 remainder 13 |
| 3 | 66 ÷ 13 = 5 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 16 | 144 |
| 106 and 103 | 10918 |
| 23 and 126 | 2898 |
| 36 and 121 | 4356 |
| 135 and 75 | 675 |