Least Common Multiple (LCM) of 93 and 72
The least common multiple (LCM) of 93 and 72 is 2232.
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 93 and 72?
First, calculate the GCD of 93 and 72 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 72 = 1 remainder 21 |
| 2 | 72 ÷ 21 = 3 remainder 9 |
| 3 | 21 ÷ 9 = 2 remainder 3 |
| 4 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 75 | 2175 |
| 19 and 194 | 3686 |
| 191 and 129 | 24639 |
| 129 and 168 | 7224 |
| 160 and 58 | 4640 |