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Two numbers are compound numbers and coprime numbers. Their least common multiple is 120. The greatest common divisor of these two numbers is______ Where the smaller sum is______ ．
120 = 2 × 2 × 2 × 3 × 5, two numbers are combined, so these two numbers should be 2 × 2 × 2 and 3 × 5, that is, 8 and 15. These two numbers are coprime numbers, so the greatest common divisor of these two numbers is 1
Two composite numbers are coprime numbers, and their least common multiple is 120. These two numbers are () and ()
Two composite numbers are coprime numbers, and their least common multiple is 120. These two numbers are (8) and (15)
120=2*2*2*3*5=8*15
Two numbers are compound numbers and coprime numbers. Their least common multiple is 60. What are the two numbers?
60=2*2**3*5
Because it is a coprime number, the product of these two numbers should be 60
This becomes a problem of permutation and combination
Because it's a coprime number, two twos should be in one number
And because they are composite numbers, these two numbers have at least two factors in 2.2.3.5
To sum up, it should be 4 and 15
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