Least Common Multiple (LCM) of 93 and 108
The least common multiple (LCM) of 93 and 108 is 3348.
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 108?
First, calculate the GCD of 93 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 108 = 0 remainder 93 |
| 2 | 108 ÷ 93 = 1 remainder 15 |
| 3 | 93 ÷ 15 = 6 remainder 3 |
| 4 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 32 | 3104 |
| 145 and 130 | 3770 |
| 88 and 65 | 5720 |
| 48 and 95 | 4560 |
| 170 and 111 | 18870 |