Least Common Multiple (LCM) of 79 and 145
The least common multiple (LCM) of 79 and 145 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 79 and 145?
First, calculate the GCD of 79 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 145 = 0 remainder 79 |
| 2 | 145 ÷ 79 = 1 remainder 66 |
| 3 | 79 ÷ 66 = 1 remainder 13 |
| 4 | 66 ÷ 13 = 5 remainder 1 |
| 5 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 45 | 1800 |
| 74 and 27 | 1998 |
| 157 and 73 | 11461 |
| 82 and 67 | 5494 |
| 128 and 167 | 21376 |