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Least Common Multiple (LCM) of 188 and 24

The least common multiple (LCM) of 188 and 24 is 1128.

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 24?

First, calculate the GCD of 188 and 24 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 188 ÷ 24 = 7 remainder 20
2 24 ÷ 20 = 1 remainder 4
3 20 ÷ 4 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
87 and 12210614
181 and 10519005
101 and 11511615
129 and 391677
22 and 491078

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