Least Common Multiple (LCM) of 45 and 92
The least common multiple (LCM) of 45 and 92 is 4140.
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 92?
First, calculate the GCD of 45 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 45 ÷ 92 = 0 remainder 45 |
| 2 | 92 ÷ 45 = 2 remainder 2 |
| 3 | 45 ÷ 2 = 22 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 26 | 2678 |
| 53 and 141 | 7473 |
| 149 and 43 | 6407 |
| 196 and 114 | 11172 |
| 96 and 126 | 2016 |