Least Common Multiple (LCM) of 45 and 134
The least common multiple (LCM) of 45 and 134 is 6030.
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 134?
First, calculate the GCD of 45 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 45 ÷ 134 = 0 remainder 45 |
| 2 | 134 ÷ 45 = 2 remainder 44 |
| 3 | 45 ÷ 44 = 1 remainder 1 |
| 4 | 44 ÷ 1 = 44 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 165 | 10065 |
| 140 and 164 | 5740 |
| 149 and 50 | 7450 |
| 27 and 21 | 189 |
| 15 and 157 | 2355 |