Least Common Multiple (LCM) of 90 and 187
The least common multiple (LCM) of 90 and 187 is 16830.
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 187?
First, calculate the GCD of 90 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 90 ÷ 187 = 0 remainder 90 |
| 2 | 187 ÷ 90 = 2 remainder 7 |
| 3 | 90 ÷ 7 = 12 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 41 | 123 |
| 140 and 63 | 1260 |
| 128 and 62 | 3968 |
| 118 and 195 | 23010 |
| 99 and 71 | 7029 |