
Least Common Multiple (LCM) of 34 and 82
The least common multiple (LCM) of 34 and 82 is 1394.
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 34 and 82?
First, calculate the GCD of 34 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 34 ÷ 82 = 0 remainder 34 |
2 | 82 ÷ 34 = 2 remainder 14 |
3 | 34 ÷ 14 = 2 remainder 6 |
4 | 14 ÷ 6 = 2 remainder 2 |
5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
192 and 79 | 15168 |
104 and 22 | 1144 |
192 and 176 | 2112 |
70 and 53 | 3710 |
151 and 49 | 7399 |