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Least Common Multiple (LCM) of 185 and 188

The least common multiple (LCM) of 185 and 188 is 34780.

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 185 and 188?

First, calculate the GCD of 185 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 185 ÷ 188 = 0 remainder 185
2 188 ÷ 185 = 1 remainder 3
3 185 ÷ 3 = 61 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
46 and 1443312
160 and 9314880
198 and 33198
122 and 885368
189 and 19737233

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