Least Common Multiple (LCM) of 76 and 87
The least common multiple (LCM) of 76 and 87 is 6612.
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 76 and 87?
First, calculate the GCD of 76 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 76 ÷ 87 = 0 remainder 76 |
| 2 | 87 ÷ 76 = 1 remainder 11 |
| 3 | 76 ÷ 11 = 6 remainder 10 |
| 4 | 11 ÷ 10 = 1 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 123 | 17220 |
| 17 and 88 | 1496 |
| 71 and 190 | 13490 |
| 157 and 161 | 25277 |
| 171 and 15 | 855 |