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 |
|---|---|
| 179 and 123 | 22017 |
| 55 and 150 | 1650 |
| 128 and 129 | 16512 |
| 178 and 139 | 24742 |
| 32 and 71 | 2272 |