Least Common Multiple (LCM) of 84 and 83
The least common multiple (LCM) of 84 and 83 is 6972.
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 83?
First, calculate the GCD of 84 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 83 = 1 remainder 1 |
| 2 | 83 ÷ 1 = 83 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 54 | 4644 |
| 70 and 32 | 1120 |
| 113 and 91 | 10283 |
| 128 and 52 | 1664 |
| 182 and 55 | 10010 |