



 
Kamaldeep, Write the prime factor decompositions of 36 and 48.
Hence any common multiple of 36 and 48 must have 3 as a factor twice and 2 as a factor four times. That is any common multiple of 36 and 48 must itself have factors of 3^{2} and 2^{4}. Therefore the smallest common factor of 36 and 48 is 2^{4} × 3^{2}. What is the next smallest common multiple? Penny  


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