Least Common Multiple (LCM) of 87 and 90
The least common multiple (LCM) of 87 and 90 is 2610.
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 87 and 90?
First, calculate the GCD of 87 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 87 ÷ 90 = 0 remainder 87 |
| 2 | 90 ÷ 87 = 1 remainder 3 |
| 3 | 87 ÷ 3 = 29 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 12 | 384 |
| 33 and 94 | 3102 |
| 185 and 86 | 15910 |
| 76 and 119 | 9044 |
| 161 and 181 | 29141 |