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Least Common Multiple (LCM) of 188 and 165

The least common multiple (LCM) of 188 and 165 is 31020.

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 188 and 165?

First, calculate the GCD of 188 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 188 ÷ 165 = 1 remainder 23
2 165 ÷ 23 = 7 remainder 4
3 23 ÷ 4 = 5 remainder 3
4 4 ÷ 3 = 1 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
140 and 9713580
103 and 14214626
35 and 441540
88 and 16314344
147 and 1332793

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