Least Common Multiple (LCM) of 90 and 177
The least common multiple (LCM) of 90 and 177 is 5310.
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 177?
First, calculate the GCD of 90 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 90 ÷ 177 = 0 remainder 90 |
| 2 | 177 ÷ 90 = 1 remainder 87 |
| 3 | 90 ÷ 87 = 1 remainder 3 |
| 4 | 87 ÷ 3 = 29 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 40 | 5720 |
| 100 and 168 | 4200 |
| 64 and 50 | 1600 |
| 38 and 86 | 1634 |
| 23 and 88 | 2024 |