Least Common Multiple (LCM) of 679 and 714
The least common multiple (LCM) of 679 and 714 is 69258.
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 679 and 714?
First, calculate the GCD of 679 and 714 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 679 ÷ 714 = 0 remainder 679 |
| 2 | 714 ÷ 679 = 1 remainder 35 |
| 3 | 679 ÷ 35 = 19 remainder 14 |
| 4 | 35 ÷ 14 = 2 remainder 7 |
| 5 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 38 | 3648 |
| 116 and 86 | 4988 |
| 184 and 114 | 10488 |
| 47 and 65 | 3055 |
| 33 and 26 | 858 |