Least Common Multiple (LCM) of 87 and 76
The least common multiple (LCM) of 87 and 76 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 87 and 76?
First, calculate the GCD of 87 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 87 ÷ 76 = 1 remainder 11 |
| 2 | 76 ÷ 11 = 6 remainder 10 |
| 3 | 11 ÷ 10 = 1 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 114 | 4674 |
| 40 and 128 | 640 |
| 191 and 50 | 9550 |
| 116 and 82 | 4756 |
| 83 and 139 | 11537 |