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Least Common Multiple (LCM) of 188 and 64

The least common multiple (LCM) of 188 and 64 is 3008.

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 64?

First, calculate the GCD of 188 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 188 ÷ 64 = 2 remainder 60
2 64 ÷ 60 = 1 remainder 4
3 60 ÷ 4 = 15 remainder 0

Examples of LCM Calculations

NumbersLCM
34 and 612074
53 and 1025406
138 and 1235658
72 and 571368
82 and 1365576

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