Least Common Multiple (LCM) of 84 and 76
The least common multiple (LCM) of 84 and 76 is 1596.
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 84 and 76?
First, calculate the GCD of 84 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 76 = 1 remainder 8 |
| 2 | 76 ÷ 8 = 9 remainder 4 |
| 3 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 14 | 798 |
| 61 and 122 | 122 |
| 182 and 126 | 1638 |
| 170 and 171 | 29070 |
| 55 and 129 | 7095 |