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Least Common Multiple (LCM) of 178 and 66

The least common multiple (LCM) of 178 and 66 is 5874.

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 178 and 66?

First, calculate the GCD of 178 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 178 ÷ 66 = 2 remainder 46
2 66 ÷ 46 = 1 remainder 20
3 46 ÷ 20 = 2 remainder 6
4 20 ÷ 6 = 3 remainder 2
5 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
105 and 2004200
192 and 1889024
43 and 974171
141 and 11816638
72 and 117936

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