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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

StepCalculation
1 84 ÷ 83 = 1 remainder 1
2 83 ÷ 1 = 83 remainder 0

Examples of LCM Calculations

NumbersLCM
115 and 14616790
36 and 1435148
137 and 19726989
164 and 481968
18 and 1913438

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