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Least Common Multiple (LCM) of 162 and 189

The least common multiple (LCM) of 162 and 189 is 1134.

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 162 and 189?

First, calculate the GCD of 162 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 162 ÷ 189 = 0 remainder 162
2 189 ÷ 162 = 1 remainder 27
3 162 ÷ 27 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
81 and 661782
17 and 3434
84 and 1502100
57 and 1277239
197 and 14127777

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