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Least Common Multiple (LCM) of 186 and 54

The least common multiple (LCM) of 186 and 54 is 1674.

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 54?

First, calculate the GCD of 186 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 186 ÷ 54 = 3 remainder 24
2 54 ÷ 24 = 2 remainder 6
3 24 ÷ 6 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
158 and 705530
197 and 19037430
81 and 18162
95 and 19818810
172 and 241032

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