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Least Common Multiple (LCM) of 188 and 144

The least common multiple (LCM) of 188 and 144 is 6768.

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 144?

First, calculate the GCD of 188 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 188 ÷ 144 = 1 remainder 44
2 144 ÷ 44 = 3 remainder 12
3 44 ÷ 12 = 3 remainder 8
4 12 ÷ 8 = 1 remainder 4
5 8 ÷ 4 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
199 and 18136019
174 and 14012180
24 and 152456
114 and 1475586
48 and 1376576

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