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Least Common Multiple (LCM) of 178 and 33

The least common multiple (LCM) of 178 and 33 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 33?

First, calculate the GCD of 178 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 178 ÷ 33 = 5 remainder 13
2 33 ÷ 13 = 2 remainder 7
3 13 ÷ 7 = 1 remainder 6
4 7 ÷ 6 = 1 remainder 1
5 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
174 and 19617052
77 and 876699
11 and 80880
178 and 282492
116 and 762204

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