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Least Common Multiple (LCM) of 178 and 174

The least common multiple (LCM) of 178 and 174 is 15486.

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 174?

First, calculate the GCD of 178 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 178 ÷ 174 = 1 remainder 4
2 174 ÷ 4 = 43 remainder 2
3 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
95 and 17216340
126 and 597434
105 and 851785
58 and 18110498
98 and 1191666

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