Least Common Multiple (LCM) of 145 and 87
The least common multiple (LCM) of 145 and 87 is 435.
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 145 and 87?
First, calculate the GCD of 145 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 87 = 1 remainder 58 |
| 2 | 87 ÷ 58 = 1 remainder 29 |
| 3 | 58 ÷ 29 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 200 | 200 |
| 163 and 59 | 9617 |
| 16 and 21 | 336 |
| 83 and 165 | 13695 |
| 80 and 115 | 1840 |