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Least Common Multiple (LCM) of 182 and 162

The least common multiple (LCM) of 182 and 162 is 14742.

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 162?

First, calculate the GCD of 182 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 182 ÷ 162 = 1 remainder 20
2 162 ÷ 20 = 8 remainder 2
3 20 ÷ 2 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
55 and 20220
170 and 11319210
175 and 1806300
159 and 6710653
154 and 1753850

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