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Least Common Multiple (LCM) of 21 and 83

The least common multiple (LCM) of 21 and 83 is 1743.

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 21 and 83?

First, calculate the GCD of 21 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 21 ÷ 83 = 0 remainder 21
2 83 ÷ 21 = 3 remainder 20
3 21 ÷ 20 = 1 remainder 1
4 20 ÷ 1 = 20 remainder 0

Examples of LCM Calculations

NumbersLCM
53 and 834399
164 and 164164
199 and 15430646
26 and 22286
127 and 617747

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