Least Common Multiple (LCM) of 110 and 94
The least common multiple (LCM) of 110 and 94 is 5170.
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 110 and 94?
First, calculate the GCD of 110 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 94 = 1 remainder 16 |
| 2 | 94 ÷ 16 = 5 remainder 14 |
| 3 | 16 ÷ 14 = 1 remainder 2 |
| 4 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 96 | 2784 |
| 88 and 188 | 4136 |
| 63 and 74 | 4662 |
| 31 and 114 | 3534 |
| 36 and 54 | 108 |