Least Common Multiple (LCM) of 93 and 98
The least common multiple (LCM) of 93 and 98 is 9114.
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 98?
First, calculate the GCD of 93 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 98 = 0 remainder 93 |
| 2 | 98 ÷ 93 = 1 remainder 5 |
| 3 | 93 ÷ 5 = 18 remainder 3 |
| 4 | 5 ÷ 3 = 1 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 116 | 4176 |
| 141 and 30 | 1410 |
| 25 and 59 | 1475 |
| 79 and 174 | 13746 |
| 77 and 70 | 770 |