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Least Common Multiple (LCM) of 37 and 83

The least common multiple (LCM) of 37 and 83 is 3071.

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 37 and 83?

First, calculate the GCD of 37 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 37 ÷ 83 = 0 remainder 37
2 83 ÷ 37 = 2 remainder 9
3 37 ÷ 9 = 4 remainder 1
4 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
20 and 94940
150 and 192850
191 and 448404
109 and 18620274
111 and 586438

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