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Least Common Multiple (LCM) of 186 and 174

The least common multiple (LCM) of 186 and 174 is 5394.

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 186 and 174?

First, calculate the GCD of 186 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 186 ÷ 174 = 1 remainder 12
2 174 ÷ 12 = 14 remainder 6
3 12 ÷ 6 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
179 and 18432936
140 and 1043640
26 and 1942522
127 and 16320701
119 and 19823562

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