Least Common Multiple (LCM) of 152 and 185
The least common multiple (LCM) of 152 and 185 is 28120.
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 152 and 185?
First, calculate the GCD of 152 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 185 = 0 remainder 152 |
| 2 | 185 ÷ 152 = 1 remainder 33 |
| 3 | 152 ÷ 33 = 4 remainder 20 |
| 4 | 33 ÷ 20 = 1 remainder 13 |
| 5 | 20 ÷ 13 = 1 remainder 7 |
| 6 | 13 ÷ 7 = 1 remainder 6 |
| 7 | 7 ÷ 6 = 1 remainder 1 |
| 8 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 153 | 9945 |
| 21 and 109 | 2289 |
| 197 and 45 | 8865 |
| 10 and 98 | 490 |
| 124 and 192 | 5952 |