Least Common Multiple (LCM) of 153 and 93
The least common multiple (LCM) of 153 and 93 is 4743.
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 93?
First, calculate the GCD of 153 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 93 = 1 remainder 60 |
| 2 | 93 ÷ 60 = 1 remainder 33 |
| 3 | 60 ÷ 33 = 1 remainder 27 |
| 4 | 33 ÷ 27 = 1 remainder 6 |
| 5 | 27 ÷ 6 = 4 remainder 3 |
| 6 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 177 | 32214 |
| 84 and 191 | 16044 |
| 193 and 39 | 7527 |
| 72 and 68 | 1224 |
| 134 and 130 | 8710 |