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Least Common Multiple (LCM) of 46 and 103

The least common multiple (LCM) of 46 and 103 is 4738.

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 103?

First, calculate the GCD of 46 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 46 ÷ 103 = 0 remainder 46
2 103 ÷ 46 = 2 remainder 11
3 46 ÷ 11 = 4 remainder 2
4 11 ÷ 2 = 5 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
112 and 657280
186 and 271674
119 and 1682856
85 and 635355
166 and 383154

Try Calculating LCM of Other Numbers







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