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Find Least Common Multiple of 11008 and 7344 using prime factorisation method.

Answer

LCM( 11008, 7344 ) = 5052672

Explanation

Step 1: Write down factorisation of each number:

11008 = 2 · 2 · 2 · 2 · 2 · 2 · 2 · 2 · 43

7344 = 2 · 2 · 2 · 2 · 3 · 3 · 3 · 17

Step 2 : Match primes vertically:

11008=2·2·2·2·2·2·2·2·        43
7344=2·2·2·2·        3·3·3·17  

Step 3 : Bring down numbers in each column and multiply to get LCM:

11008=2·2·2·2·2·2·2·2·        43  
7344=2·2·2·2·        3·3·3·17    
LCM=2·2·2·2·2·2·2·2·3·3·3·17·43=5052672

This solution can be visualized using a Venn diagram.

The LCM is equal to the product of all the numbers on the diagram.

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