Least Common Multiple (LCM) of 185 and 79
The least common multiple (LCM) of 185 and 79 is 14615.
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 185 and 79?
First, calculate the GCD of 185 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 79 = 2 remainder 27 |
| 2 | 79 ÷ 27 = 2 remainder 25 |
| 3 | 27 ÷ 25 = 1 remainder 2 |
| 4 | 25 ÷ 2 = 12 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 37 | 2368 |
| 198 and 148 | 14652 |
| 37 and 194 | 7178 |
| 152 and 192 | 3648 |
| 160 and 167 | 26720 |