Least Common Multiple (LCM) of 75 and 153
The least common multiple (LCM) of 75 and 153 is 3825.
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 75 and 153?
First, calculate the GCD of 75 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 75 ÷ 153 = 0 remainder 75 |
| 2 | 153 ÷ 75 = 2 remainder 3 |
| 3 | 75 ÷ 3 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 20 | 3780 |
| 122 and 71 | 8662 |
| 16 and 36 | 144 |
| 174 and 23 | 4002 |
| 85 and 31 | 2635 |