Least Common Multiple (LCM) of 153 and 185
The least common multiple (LCM) of 153 and 185 is 28305.
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 153 and 185?
First, calculate the GCD of 153 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 185 = 0 remainder 153 |
| 2 | 185 ÷ 153 = 1 remainder 32 |
| 3 | 153 ÷ 32 = 4 remainder 25 |
| 4 | 32 ÷ 25 = 1 remainder 7 |
| 5 | 25 ÷ 7 = 3 remainder 4 |
| 6 | 7 ÷ 4 = 1 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 73 | 8249 |
| 66 and 188 | 6204 |
| 72 and 198 | 792 |
| 107 and 200 | 21400 |
| 142 and 120 | 8520 |