Least Common Multiple (LCM) of 90 and 188
The least common multiple (LCM) of 90 and 188 is 8460.
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 90 and 188?
First, calculate the GCD of 90 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 90 ÷ 188 = 0 remainder 90 |
| 2 | 188 ÷ 90 = 2 remainder 8 |
| 3 | 90 ÷ 8 = 11 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 130 | 12220 |
| 161 and 121 | 19481 |
| 113 and 87 | 9831 |
| 144 and 150 | 3600 |
| 101 and 103 | 10403 |