Least Common Multiple (LCM) of 87 and 52
The least common multiple (LCM) of 87 and 52 is 4524.
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 52?
First, calculate the GCD of 87 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 87 ÷ 52 = 1 remainder 35 |
| 2 | 52 ÷ 35 = 1 remainder 17 |
| 3 | 35 ÷ 17 = 2 remainder 1 |
| 4 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 61 | 8723 |
| 43 and 110 | 4730 |
| 30 and 182 | 2730 |
| 124 and 182 | 11284 |
| 109 and 96 | 10464 |