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Least Common Multiple (LCM) of 83 and 38

The least common multiple (LCM) of 83 and 38 is 3154.

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 83 and 38?

First, calculate the GCD of 83 and 38 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 83 ÷ 38 = 2 remainder 7
2 38 ÷ 7 = 5 remainder 3
3 7 ÷ 3 = 2 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
16 and 54432
199 and 11021890
106 and 1427526
29 and 1032987
46 and 1182714

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