Least Common Multiple (LCM) of 93 and 118
The least common multiple (LCM) of 93 and 118 is 10974.
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 118?
First, calculate the GCD of 93 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 118 = 0 remainder 93 |
| 2 | 118 ÷ 93 = 1 remainder 25 |
| 3 | 93 ÷ 25 = 3 remainder 18 |
| 4 | 25 ÷ 18 = 1 remainder 7 |
| 5 | 18 ÷ 7 = 2 remainder 4 |
| 6 | 7 ÷ 4 = 1 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 18 | 3330 |
| 115 and 74 | 8510 |
| 186 and 104 | 9672 |
| 11 and 63 | 693 |
| 53 and 62 | 3286 |