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Least Common Multiple (LCM) of 42 and 181

The least common multiple (LCM) of 42 and 181 is 7602.

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 42 and 181?

First, calculate the GCD of 42 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 42 ÷ 181 = 0 remainder 42
2 181 ÷ 42 = 4 remainder 13
3 42 ÷ 13 = 3 remainder 3
4 13 ÷ 3 = 4 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
44 and 110220
32 and 1534896
68 and 1803060
173 and 132249
27 and 1875049

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