Least Common Multiple (LCM) of 84 and 179
The least common multiple (LCM) of 84 and 179 is 15036.
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 179?
First, calculate the GCD of 84 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 179 = 0 remainder 84 |
| 2 | 179 ÷ 84 = 2 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 |
|---|---|
| 186 and 162 | 5022 |
| 130 and 163 | 21190 |
| 14 and 99 | 1386 |
| 137 and 78 | 10686 |
| 13 and 140 | 1820 |