Least Common Multiple (LCM) of 87 and 145
The least common multiple (LCM) of 87 and 145 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 87 and 145?
First, calculate the GCD of 87 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 87 ÷ 145 = 0 remainder 87 |
| 2 | 145 ÷ 87 = 1 remainder 58 |
| 3 | 87 ÷ 58 = 1 remainder 29 |
| 4 | 58 ÷ 29 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 108 | 8316 |
| 43 and 163 | 7009 |
| 30 and 143 | 4290 |
| 159 and 71 | 11289 |
| 194 and 71 | 13774 |