Least Common Multiple (LCM) of 158 and 90
The least common multiple (LCM) of 158 and 90 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 90?
First, calculate the GCD of 158 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 90 = 1 remainder 68 |
| 2 | 90 ÷ 68 = 1 remainder 22 |
| 3 | 68 ÷ 22 = 3 remainder 2 |
| 4 | 22 ÷ 2 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 59 | 6313 |
| 189 and 166 | 31374 |
| 143 and 61 | 8723 |
| 116 and 192 | 5568 |
| 141 and 126 | 5922 |