Least Common Multiple (LCM) of 184 and 35
The least common multiple (LCM) of 184 and 35 is 6440.
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 184 and 35?
First, calculate the GCD of 184 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 35 = 5 remainder 9 |
| 2 | 35 ÷ 9 = 3 remainder 8 |
| 3 | 9 ÷ 8 = 1 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 42 | 6846 |
| 128 and 59 | 7552 |
| 118 and 164 | 9676 |
| 72 and 111 | 2664 |
| 131 and 46 | 6026 |