Least Common Multiple (LCM) of 179 and 65
The least common multiple (LCM) of 179 and 65 is 11635.
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 179 and 65?
First, calculate the GCD of 179 and 65 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 65 = 2 remainder 49 |
| 2 | 65 ÷ 49 = 1 remainder 16 |
| 3 | 49 ÷ 16 = 3 remainder 1 |
| 4 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 63 and 130 | 8190 |
| 116 and 137 | 15892 |
| 34 and 28 | 476 |
| 115 and 90 | 2070 |
| 85 and 163 | 13855 |