Least Common Multiple (LCM) of 151 and 184
The least common multiple (LCM) of 151 and 184 is 27784.
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 151 and 184?
First, calculate the GCD of 151 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 184 = 0 remainder 151 |
| 2 | 184 ÷ 151 = 1 remainder 33 |
| 3 | 151 ÷ 33 = 4 remainder 19 |
| 4 | 33 ÷ 19 = 1 remainder 14 |
| 5 | 19 ÷ 14 = 1 remainder 5 |
| 6 | 14 ÷ 5 = 2 remainder 4 |
| 7 | 5 ÷ 4 = 1 remainder 1 |
| 8 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 145 | 17690 |
| 153 and 178 | 27234 |
| 50 and 62 | 1550 |
| 156 and 166 | 12948 |
| 121 and 85 | 10285 |