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Least Common Multiple (LCM) of 46 and 83

The least common multiple (LCM) of 46 and 83 is 3818.

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 46 and 83?

First, calculate the GCD of 46 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 46 ÷ 83 = 0 remainder 46
2 83 ÷ 46 = 1 remainder 37
3 46 ÷ 37 = 1 remainder 9
4 37 ÷ 9 = 4 remainder 1
5 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
78 and 1967644
182 and 10910
142 and 18813348
151 and 14722197
23 and 1463358

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