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Least Common Multiple (LCM) of 182 and 174

The least common multiple (LCM) of 182 and 174 is 15834.

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 182 and 174?

First, calculate the GCD of 182 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 182 ÷ 174 = 1 remainder 8
2 174 ÷ 8 = 21 remainder 6
3 8 ÷ 6 = 1 remainder 2
4 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
185 and 16730895
130 and 451170
158 and 11117538
109 and 15917331
108 and 21756

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