Least Common Multiple (LCM) of 45 and 94
The least common multiple (LCM) of 45 and 94 is 4230.
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 45 and 94?
First, calculate the GCD of 45 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 45 ÷ 94 = 0 remainder 45 |
| 2 | 94 ÷ 45 = 2 remainder 4 |
| 3 | 45 ÷ 4 = 11 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 183 | 6222 |
| 97 and 48 | 4656 |
| 81 and 88 | 7128 |
| 124 and 75 | 9300 |
| 61 and 153 | 9333 |