Least Common Multiple (LCM) of 73 and 153
The least common multiple (LCM) of 73 and 153 is 11169.
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 73 and 153?
First, calculate the GCD of 73 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 153 = 0 remainder 73 |
| 2 | 153 ÷ 73 = 2 remainder 7 |
| 3 | 73 ÷ 7 = 10 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 52 | 7020 |
| 184 and 22 | 2024 |
| 162 and 53 | 8586 |
| 185 and 22 | 4070 |
| 15 and 180 | 180 |