Least Common Multiple (LCM) of 158 and 45
The least common multiple (LCM) of 158 and 45 is 7110.
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 158 and 45?
First, calculate the GCD of 158 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 45 = 3 remainder 23 |
| 2 | 45 ÷ 23 = 1 remainder 22 |
| 3 | 23 ÷ 22 = 1 remainder 1 |
| 4 | 22 ÷ 1 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 84 | 16044 |
| 13 and 157 | 2041 |
| 122 and 70 | 4270 |
| 79 and 190 | 15010 |
| 11 and 73 | 803 |