Least Common Multiple (LCM) of 84 and 95
The least common multiple (LCM) of 84 and 95 is 7980.
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 95?
First, calculate the GCD of 84 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 95 = 0 remainder 84 |
| 2 | 95 ÷ 84 = 1 remainder 11 |
| 3 | 84 ÷ 11 = 7 remainder 7 |
| 4 | 11 ÷ 7 = 1 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 115 | 6095 |
| 111 and 173 | 19203 |
| 170 and 63 | 10710 |
| 123 and 54 | 2214 |
| 106 and 126 | 6678 |