HowManyNumbers Logo

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

StepCalculation
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

NumbersLCM
192 and 7915168
104 and 221144
192 and 1762112
70 and 533710
151 and 497399

Try Calculating LCM of Other Numbers







Related Calculators